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<h1 class="title">MH-20210116</h1>
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<nav id="TOC" role="doc-toc">
<ul>
<li><a href="#原解" id="toc-原解"><span class="toc-section-number">1</span> 原解</a></li>
<li><a href="#扩展" id="toc-扩展"><span class="toc-section-number">2</span> 扩展</a>
<ul>
<li><a href="#问" id="toc-问"><span class="toc-section-number">2.1</span> 问</a>
<ul>
<li><a href="#答" id="toc-答"><span class="toc-section-number">2.1.1</span> 答</a></li>
<li><a href="#解" id="toc-解"><span class="toc-section-number">2.1.2</span> 解</a></li>
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<h1 data-number="1" id="原解"><span class="header-section-number">1</span> 原解</h1>
<pre><code>1 * 5 = 5

2 * 4 = 8

3 * 3 = 9</code></pre>
<h1 data-number="2" id="扩展"><span class="header-section-number">2</span> 扩展</h1>
<h2 data-number="2.1" id="问"><span class="header-section-number">2.1</span> 问</h2>
<p>给定一个由数个小正整数累加起来的大正整数，问这些小正整数的值为多少才能让这些小正整数的累乘值最大</p>
<h3 data-number="2.1.1" id="答"><span class="header-section-number">2.1.1</span> 答</h3>
<p>非 3 即 2</p>
<h3 data-number="2.1.2" id="解"><span class="header-section-number">2.1.2</span> 解</h3>
<p>可能的值有 1 ~ 正无穷</p>
<p>由指数爆炸性可知，只需要考虑 2 3 4</p>
<p>由 4 是 2 的倍数可知，只需要考虑 2 3</p>
<p>由某些正整数不能被 2 整除可知，需要 3</p>
<p>由某些正整数不能被 3 整除可知，需要 2</p>
<p>故，非 3 即 2</p>
<p>取 2 3 的最小公倍数 6</p>
<pre><code>2 ^ 3 = 8

3 ^ 3 = 9</code></pre>
<p>故，优先选 3</p>
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