deploy: 46abcd7

Author: yanglbme

en/lc/1979/index.html

@@ -48869,9 +48869,9 @@
       <ul class="md-nav__list">
 
           <li class="md-nav__item">
-  <a href="#solution-1" class="md-nav__link">
+  <a href="#solution-1-simulation" class="md-nav__link">
     <span class="md-ellipsis">
-      Solution 1
+      Solution 1: Simulation
     </span>
   </a>
 
@@ -81259,8 +81259,10 @@ <h2 id="description">Description</h2>
 <h2 id="solutions">Solutions</h2>
 <!-- solution:start -->
 
-<h3 id="solution-1">Solution 1</h3>
-<div class="tabbed-set tabbed-alternate" data-tabs="1:5"><input checked="checked" id="__tabbed_1_1" name="__tabbed_1" type="radio" /><input id="__tabbed_1_2" name="__tabbed_1" type="radio" /><input id="__tabbed_1_3" name="__tabbed_1" type="radio" /><input id="__tabbed_1_4" name="__tabbed_1" type="radio" /><input id="__tabbed_1_5" name="__tabbed_1" type="radio" /><div class="tabbed-labels"><label for="__tabbed_1_1">Python3</label><label for="__tabbed_1_2">Java</label><label for="__tabbed_1_3">C++</label><label for="__tabbed_1_4">Go</label><label for="__tabbed_1_5">TypeScript</label></div>
+<h3 id="solution-1-simulation">Solution 1: Simulation</h3>
+<p>We can simulate according to the problem description. First, find the maximum and minimum values in the array $\textit{nums}$, then find the greatest common divisor of the maximum and minimum values.</p>
+<p>The time complexity is $O(n)$, where $n$ is the length of the array $\textit{nums}$. The space complexity is $O(1)$.</p>
+<div class="tabbed-set tabbed-alternate" data-tabs="1:6"><input checked="checked" id="__tabbed_1_1" name="__tabbed_1" type="radio" /><input id="__tabbed_1_2" name="__tabbed_1" type="radio" /><input id="__tabbed_1_3" name="__tabbed_1" type="radio" /><input id="__tabbed_1_4" name="__tabbed_1" type="radio" /><input id="__tabbed_1_5" name="__tabbed_1" type="radio" /><input id="__tabbed_1_6" name="__tabbed_1" type="radio" /><div class="tabbed-labels"><label for="__tabbed_1_1">Python3</label><label for="__tabbed_1_2">Java</label><label for="__tabbed_1_3">C++</label><label for="__tabbed_1_4">Go</label><label for="__tabbed_1_5">TypeScript</label><label for="__tabbed_1_6">Rust</label></div>
 <div class="tabbed-content">
 <div class="tabbed-block">
 <div class="highlight"><table class="highlighttable"><tr><td class="linenos"><div class="linenodiv"><pre><span></span><span class="normal">1</span>
@@ -81307,13 +81309,11 @@ <h3 id="solution-1">Solution 1</h3>
 <span class="normal">4</span>
 <span class="normal">5</span>
 <span class="normal">6</span>
-<span class="normal">7</span>
-<span class="normal">8</span></pre></div></td><td class="code"><div><pre><span></span><code><span class="k">class</span><span class="w"> </span><span class="nc">Solution</span><span class="w"> </span><span class="p">{</span>
+<span class="normal">7</span></pre></div></td><td class="code"><div><pre><span></span><code><span class="k">class</span><span class="w"> </span><span class="nc">Solution</span><span class="w"> </span><span class="p">{</span>
 <span class="k">public</span><span class="o">:</span>
 <span class="w">    </span><span class="kt">int</span><span class="w"> </span><span class="n">findGCD</span><span class="p">(</span><span class="n">vector</span><span class="o">&lt;</span><span class="kt">int</span><span class="o">&gt;&amp;</span><span class="w"> </span><span class="n">nums</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
-<span class="w">        </span><span class="kt">int</span><span class="w"> </span><span class="n">a</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="o">*</span><span class="n">max_element</span><span class="p">(</span><span class="n">nums</span><span class="p">.</span><span class="n">begin</span><span class="p">(),</span><span class="w"> </span><span class="n">nums</span><span class="p">.</span><span class="n">end</span><span class="p">());</span>
-<span class="w">        </span><span class="kt">int</span><span class="w"> </span><span class="n">b</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="o">*</span><span class="n">min_element</span><span class="p">(</span><span class="n">nums</span><span class="p">.</span><span class="n">begin</span><span class="p">(),</span><span class="w"> </span><span class="n">nums</span><span class="p">.</span><span class="n">end</span><span class="p">());</span>
-<span class="w">        </span><span class="k">return</span><span class="w"> </span><span class="n">gcd</span><span class="p">(</span><span class="n">a</span><span class="p">,</span><span class="w"> </span><span class="n">b</span><span class="p">);</span>
+<span class="w">        </span><span class="k">auto</span><span class="w"> </span><span class="p">[</span><span class="n">min</span><span class="p">,</span><span class="w"> </span><span class="n">max</span><span class="p">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">ranges</span><span class="o">::</span><span class="n">minmax_element</span><span class="p">(</span><span class="n">nums</span><span class="p">);</span>
+<span class="w">        </span><span class="k">return</span><span class="w"> </span><span class="n">gcd</span><span class="p">(</span><span class="o">*</span><span class="n">min</span><span class="p">,</span><span class="w"> </span><span class="o">*</span><span class="n">max</span><span class="p">);</span>
 <span class="w">    </span><span class="p">}</span>
 <span class="p">};</span>
 </code></pre></div></td></tr></table></div>
@@ -81354,25 +81354,51 @@ <h3 id="solution-1">Solution 1</h3>
 <span class="normal"> 9</span>
 <span class="normal">10</span>
 <span class="normal">11</span>
+<span class="normal">12</span></pre></div></td><td class="code"><div><pre><span></span><code><span class="kd">function</span><span class="w"> </span><span class="nx">findGCD</span><span class="p">(</span><span class="nx">nums</span><span class="o">:</span><span class="w"> </span><span class="kt">number</span><span class="p">[])</span><span class="o">:</span><span class="w"> </span><span class="kt">number</span><span class="w"> </span><span class="p">{</span>
+<span class="w">    </span><span class="kd">const</span><span class="w"> </span><span class="nx">min</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="nb">Math</span><span class="p">.</span><span class="nx">min</span><span class="p">(...</span><span class="nx">nums</span><span class="p">);</span>
+<span class="w">    </span><span class="kd">const</span><span class="w"> </span><span class="nx">max</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="nb">Math</span><span class="p">.</span><span class="nx">max</span><span class="p">(...</span><span class="nx">nums</span><span class="p">);</span>
+<span class="w">    </span><span class="k">return</span><span class="w"> </span><span class="nx">gcd</span><span class="p">(</span><span class="nx">min</span><span class="p">,</span><span class="w"> </span><span class="nx">max</span><span class="p">);</span>
+<span class="p">}</span>
+
+<span class="kd">function</span><span class="w"> </span><span class="nx">gcd</span><span class="p">(</span><span class="nx">a</span><span class="o">:</span><span class="w"> </span><span class="kt">number</span><span class="p">,</span><span class="w"> </span><span class="nx">b</span><span class="o">:</span><span class="w"> </span><span class="kt">number</span><span class="p">)</span><span class="o">:</span><span class="w"> </span><span class="kt">number</span><span class="w"> </span><span class="p">{</span>
+<span class="w">    </span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="nx">b</span><span class="w"> </span><span class="o">==</span><span class="w"> </span><span class="mf">0</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
+<span class="w">        </span><span class="k">return</span><span class="w"> </span><span class="nx">a</span><span class="p">;</span>
+<span class="w">    </span><span class="p">}</span>
+<span class="w">    </span><span class="k">return</span><span class="w"> </span><span class="nx">gcd</span><span class="p">(</span><span class="nx">b</span><span class="p">,</span><span class="w"> </span><span class="nx">a</span><span class="w"> </span><span class="o">%</span><span class="w"> </span><span class="nx">b</span><span class="p">);</span>
+<span class="p">}</span>
+</code></pre></div></td></tr></table></div>
+</div>
+<div class="tabbed-block">
+<div class="highlight"><table class="highlighttable"><tr><td class="linenos"><div class="linenodiv"><pre><span></span><span class="normal"> 1</span>
+<span class="normal"> 2</span>
+<span class="normal"> 3</span>
+<span class="normal"> 4</span>
+<span class="normal"> 5</span>
+<span class="normal"> 6</span>
+<span class="normal"> 7</span>
+<span class="normal"> 8</span>
+<span class="normal"> 9</span>
+<span class="normal">10</span>
+<span class="normal">11</span>
 <span class="normal">12</span>
 <span class="normal">13</span>
 <span class="normal">14</span>
 <span class="normal">15</span>
-<span class="normal">16</span></pre></div></td><td class="code"><div><pre><span></span><code><span class="kd">function</span><span class="w"> </span><span class="nx">findGCD</span><span class="p">(</span><span class="nx">nums</span><span class="o">:</span><span class="w"> </span><span class="kt">number</span><span class="p">[])</span><span class="o">:</span><span class="w"> </span><span class="kt">number</span><span class="w"> </span><span class="p">{</span>
-<span class="w">    </span><span class="kd">let</span><span class="w"> </span><span class="nx">a</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mf">1</span><span class="p">;</span>
-<span class="w">    </span><span class="kd">let</span><span class="w"> </span><span class="nx">b</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mf">1000</span><span class="p">;</span>
-<span class="w">    </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="kd">const</span><span class="w"> </span><span class="nx">x</span><span class="w"> </span><span class="k">of</span><span class="w"> </span><span class="nx">nums</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
-<span class="w">        </span><span class="nx">a</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="nb">Math</span><span class="p">.</span><span class="nx">max</span><span class="p">(</span><span class="nx">a</span><span class="p">,</span><span class="w"> </span><span class="nx">x</span><span class="p">);</span>
-<span class="w">        </span><span class="nx">b</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="nb">Math</span><span class="p">.</span><span class="nx">min</span><span class="p">(</span><span class="nx">b</span><span class="p">,</span><span class="w"> </span><span class="nx">x</span><span class="p">);</span>
+<span class="normal">16</span></pre></div></td><td class="code"><div><pre><span></span><code><span class="k">impl</span><span class="w"> </span><span class="n">Solution</span><span class="w"> </span><span class="p">{</span>
+<span class="w">    </span><span class="k">pub</span><span class="w"> </span><span class="k">fn</span><span class="w"> </span><span class="nf">find_gcd</span><span class="p">(</span><span class="n">nums</span><span class="p">:</span><span class="w"> </span><span class="nb">Vec</span><span class="o">&lt;</span><span class="kt">i32</span><span class="o">&gt;</span><span class="p">)</span><span class="w"> </span><span class="p">-&gt;</span><span class="w"> </span><span class="kt">i32</span><span class="w"> </span><span class="p">{</span>
+<span class="w">        </span><span class="kd">let</span><span class="w"> </span><span class="n">min_val</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="o">*</span><span class="n">nums</span><span class="p">.</span><span class="n">iter</span><span class="p">().</span><span class="n">min</span><span class="p">().</span><span class="n">unwrap</span><span class="p">();</span>
+<span class="w">        </span><span class="kd">let</span><span class="w"> </span><span class="n">max_val</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="o">*</span><span class="n">nums</span><span class="p">.</span><span class="n">iter</span><span class="p">().</span><span class="n">max</span><span class="p">().</span><span class="n">unwrap</span><span class="p">();</span>
+<span class="w">        </span><span class="n">gcd</span><span class="p">(</span><span class="n">min_val</span><span class="p">,</span><span class="w"> </span><span class="n">max_val</span><span class="p">)</span>
 <span class="w">    </span><span class="p">}</span>
-<span class="w">    </span><span class="k">return</span><span class="w"> </span><span class="nx">gcd</span><span class="p">(</span><span class="nx">a</span><span class="p">,</span><span class="w"> </span><span class="nx">b</span><span class="p">);</span>
 <span class="p">}</span>
 
-<span class="kd">function</span><span class="w"> </span><span class="nx">gcd</span><span class="p">(</span><span class="nx">a</span><span class="o">:</span><span class="w"> </span><span class="kt">number</span><span class="p">,</span><span class="w"> </span><span class="nx">b</span><span class="o">:</span><span class="w"> </span><span class="kt">number</span><span class="p">)</span><span class="o">:</span><span class="w"> </span><span class="kt">number</span><span class="w"> </span><span class="p">{</span>
-<span class="w">    </span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="nx">b</span><span class="w"> </span><span class="o">==</span><span class="w"> </span><span class="mf">0</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
-<span class="w">        </span><span class="k">return</span><span class="w"> </span><span class="nx">a</span><span class="p">;</span>
+<span class="k">fn</span><span class="w"> </span><span class="nf">gcd</span><span class="p">(</span><span class="k">mut</span><span class="w"> </span><span class="n">a</span><span class="p">:</span><span class="w"> </span><span class="kt">i32</span><span class="p">,</span><span class="w"> </span><span class="k">mut</span><span class="w"> </span><span class="n">b</span><span class="p">:</span><span class="w"> </span><span class="kt">i32</span><span class="p">)</span><span class="w"> </span><span class="p">-&gt;</span><span class="w"> </span><span class="kt">i32</span><span class="w"> </span><span class="p">{</span>
+<span class="w">    </span><span class="k">while</span><span class="w"> </span><span class="n">b</span><span class="w"> </span><span class="o">!=</span><span class="w"> </span><span class="mi">0</span><span class="w"> </span><span class="p">{</span>
+<span class="w">        </span><span class="kd">let</span><span class="w"> </span><span class="n">temp</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">b</span><span class="p">;</span>
+<span class="w">        </span><span class="n">b</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">a</span><span class="w"> </span><span class="o">%</span><span class="w"> </span><span class="n">b</span><span class="p">;</span>
+<span class="w">        </span><span class="n">a</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">temp</span><span class="p">;</span>
 <span class="w">    </span><span class="p">}</span>
-<span class="w">    </span><span class="k">return</span><span class="w"> </span><span class="nx">gcd</span><span class="p">(</span><span class="nx">b</span><span class="p">,</span><span class="w"> </span><span class="nx">a</span><span class="w"> </span><span class="o">%</span><span class="w"> </span><span class="nx">b</span><span class="p">);</span>
+<span class="w">    </span><span class="n">a</span>
 <span class="p">}</span>
 </code></pre></div></td></tr></table></div>
 </div>