<?xml version="1.0" encoding="utf-8" standalone="yes"?><rss version="2.0" xmlns:atom="http://www.w3.org/2005/Atom"><channel><title>Hamming Number on ICE345のBLOG</title><link>https://myblog.050626.xyz/ja/tags/hamming-number/</link><description>Recent content in Hamming Number on ICE345のBLOG</description><generator>Hugo -- gohugo.io</generator><language>ja</language><copyright>© 2026 ICE345</copyright><lastBuildDate>Thu, 06 Jun 2024 10:59:06 +0000</lastBuildDate><atom:link href="https://myblog.050626.xyz/ja/tags/hamming-number/index.xml" rel="self" type="application/rss+xml"/><item><title>hamming_number_solutions</title><link>https://myblog.050626.xyz/ja/notes/math/hamming-number-solutions/</link><pubDate>Thu, 06 Jun 2024 10:59:06 +0000</pubDate><guid>https://myblog.050626.xyz/ja/notes/math/hamming-number-solutions/</guid><description>&lt;h1 class="relative group"&gt;hamming number 解法メモ
 &lt;div id="hamming-number-解法メモ" class="anchor"&gt;&lt;/div&gt;
 
 &lt;span
 class="absolute top-0 w-6 transition-opacity opacity-0 -start-6 not-prose group-hover:opacity-100 select-none"&gt;
 &lt;a class="text-primary-300 dark:text-neutral-700 !no-underline" href="#hamming-number-%e8%a7%a3%e6%b3%95%e3%83%a1%e3%83%a2" aria-label="アンカー"&gt;#&lt;/a&gt;
 &lt;/span&gt;
 
&lt;/h1&gt;

&lt;h2 class="relative group"&gt;&lt;strong&gt;問題&lt;/strong&gt;：&lt;a href="https://www.codewars.com/kata/526d84b98f428f14a60008da" target="_blank" rel="noreferrer"&gt;Codewars サイト&lt;/a&gt;
 &lt;div id="問題codewars-サイト" class="anchor"&gt;&lt;/div&gt;
 
 &lt;span
 class="absolute top-0 w-6 transition-opacity opacity-0 -start-6 not-prose group-hover:opacity-100 select-none"&gt;
 &lt;a class="text-primary-300 dark:text-neutral-700 !no-underline" href="#%e5%95%8f%e9%a1%8ccodewars-%e3%82%b5%e3%82%a4%e3%83%88" aria-label="アンカー"&gt;#&lt;/a&gt;
 &lt;/span&gt;
 
&lt;/h2&gt;
&lt;hr&gt;
&lt;figure&gt;&lt;img
 class="my-0 rounded-md"
 loading="lazy"
 decoding="async"
 fetchpriority="low"
 alt="problem description"
 src="https://raw.githubusercontent.com/ice345/picture_share/master/study/%E5%B1%8F%E5%B9%95%E6%88%AA%E5%9B%BE%202024-05-28%20213429.png"
 &gt;&lt;/figure&gt;
&lt;hr&gt;

&lt;h2 class="relative group"&gt;&lt;strong&gt;solutions&lt;/strong&gt;
 &lt;div id="solutions" class="anchor"&gt;&lt;/div&gt;
 
 &lt;span
 class="absolute top-0 w-6 transition-opacity opacity-0 -start-6 not-prose group-hover:opacity-100 select-none"&gt;
 &lt;a class="text-primary-300 dark:text-neutral-700 !no-underline" href="#solutions" aria-label="アンカー"&gt;#&lt;/a&gt;
 &lt;/span&gt;
 
&lt;/h2&gt;
&lt;figure&gt;&lt;img
 class="my-0 rounded-md"
 loading="lazy"
 decoding="async"
 fetchpriority="low"
 alt="solution"
 src="https://raw.githubusercontent.com/ice345/picture_share/master/study/%E5%B1%8F%E5%B9%95%E6%88%AA%E5%9B%BE%202024-05-24%20220157.png"
 &gt;&lt;/figure&gt;
&lt;hr&gt;

&lt;h2 class="relative group"&gt;***自分の最初の考え方：***ある数を素因数分解し、その素因数が 2、3、5 だけかどうかを確認すればよい。
 &lt;div id="自分の最初の考え方ある数を素因数分解しその素因数が-235-だけかどうかを確認すればよい" class="anchor"&gt;&lt;/div&gt;
 
 &lt;span
 class="absolute top-0 w-6 transition-opacity opacity-0 -start-6 not-prose group-hover:opacity-100 select-none"&gt;
 &lt;a class="text-primary-300 dark:text-neutral-700 !no-underline" href="#%e8%87%aa%e5%88%86%e3%81%ae%e6%9c%80%e5%88%9d%e3%81%ae%e8%80%83%e3%81%88%e6%96%b9%e3%81%82%e3%82%8b%e6%95%b0%e3%82%92%e7%b4%a0%e5%9b%a0%e6%95%b0%e5%88%86%e8%a7%a3%e3%81%97%e3%81%9d%e3%81%ae%e7%b4%a0%e5%9b%a0%e6%95%b0%e3%81%8c-235-%e3%81%a0%e3%81%91%e3%81%8b%e3%81%a9%e3%81%86%e3%81%8b%e3%82%92%e7%a2%ba%e8%aa%8d%e3%81%99%e3%82%8c%e3%81%b0%e3%82%88%e3%81%84" aria-label="アンカー"&gt;#&lt;/a&gt;
 &lt;/span&gt;
 
&lt;/h2&gt;
&lt;div class="highlight-wrapper"&gt;&lt;div class="highlight"&gt;&lt;pre tabindex="0" class="chroma"&gt;&lt;code class="language-python" data-lang="python"&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="k"&gt;def&lt;/span&gt; &lt;span class="nf"&gt;is_hamming_number&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;num&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="s2"&gt;&amp;#34;&amp;#34;&amp;#34;判断一个数是否是 Hamming 数&amp;#34;&amp;#34;&amp;#34;&lt;/span&gt;
&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="k"&gt;while&lt;/span&gt; &lt;span class="n"&gt;num&lt;/span&gt; &lt;span class="o"&gt;%&lt;/span&gt; &lt;span class="mi"&gt;2&lt;/span&gt; &lt;span class="o"&gt;==&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;
&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="n"&gt;num&lt;/span&gt; &lt;span class="o"&gt;//=&lt;/span&gt; &lt;span class="mi"&gt;2&lt;/span&gt;
&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="k"&gt;while&lt;/span&gt; &lt;span class="n"&gt;num&lt;/span&gt; &lt;span class="o"&gt;%&lt;/span&gt; &lt;span class="mi"&gt;3&lt;/span&gt; &lt;span class="o"&gt;==&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;
&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="n"&gt;num&lt;/span&gt; &lt;span class="o"&gt;//=&lt;/span&gt; &lt;span class="mi"&gt;3&lt;/span&gt;
&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="k"&gt;while&lt;/span&gt; &lt;span class="n"&gt;num&lt;/span&gt; &lt;span class="o"&gt;%&lt;/span&gt; &lt;span class="mi"&gt;5&lt;/span&gt; &lt;span class="o"&gt;==&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;
&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="n"&gt;num&lt;/span&gt; &lt;span class="o"&gt;//=&lt;/span&gt; &lt;span class="mi"&gt;5&lt;/span&gt;
&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="n"&gt;num&lt;/span&gt; &lt;span class="o"&gt;==&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;
&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;
&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="k"&gt;def&lt;/span&gt; &lt;span class="nf"&gt;generate_hamming_numbers&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;n&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="s2"&gt;&amp;#34;&amp;#34;&amp;#34;生成前 n 个 Hamming 数&amp;#34;&amp;#34;&amp;#34;&lt;/span&gt;
&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="n"&gt;hamming_numbers&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="p"&gt;[]&lt;/span&gt;
&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="n"&gt;num&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;
&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="k"&gt;while&lt;/span&gt; &lt;span class="nb"&gt;len&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;hamming_numbers&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="o"&gt;&amp;lt;&lt;/span&gt; &lt;span class="n"&gt;n&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;
&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="n"&gt;is_hamming_number&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;num&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="n"&gt;hamming_numbers&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;append&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;num&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="n"&gt;num&lt;/span&gt; &lt;span class="o"&gt;+=&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;
&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="n"&gt;hamming_numbers&lt;/span&gt;
&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;
&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt;&lt;span class="k"&gt;def&lt;/span&gt; &lt;span class="nf"&gt;nth_hamming_number&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;n&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="s2"&gt;&amp;#34;&amp;#34;&amp;#34;查询第 n 个 Hamming 数&amp;#34;&amp;#34;&amp;#34;&lt;/span&gt;
&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="n"&gt;hamming_numbers&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;generate_hamming_numbers&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;n&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;/span&gt;&lt;/span&gt;&lt;span class="line"&gt;&lt;span class="cl"&gt; &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="n"&gt;hamming_numbers&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="o"&gt;-&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="n"&gt;n&lt;/span&gt; &lt;span class="o"&gt;&amp;lt;=&lt;/span&gt; &lt;span class="nb"&gt;len&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;hamming_numbers&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="k"&gt;else&lt;/span&gt; &lt;span class="kc"&gt;None&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;&lt;/div&gt;
&lt;p&gt;この考え方は単純明快です。ひたすら数を走査し、素因数が 2、3、5 だけの数を見つけたらリストに入れていきます。&lt;/p&gt;</description></item></channel></rss>