<?xml version="1.0" encoding="utf-8" standalone="yes"?><rss version="2.0" xmlns:atom="http://www.w3.org/2005/Atom"><channel><title>数学 on ICE345のBLOG</title><link>https://myblog.050626.xyz/notes/math/</link><description>Recent content in 数学 on ICE345のBLOG</description><generator>Hugo -- gohugo.io</generator><language>zh-cn</language><copyright>© 2026 ICE345</copyright><lastBuildDate>Thu, 06 Jun 2024 10:59:06 +0000</lastBuildDate><atom:link href="https://myblog.050626.xyz/notes/math/index.xml" rel="self" type="application/rss+xml"/><item><title>hamming_number_solutions</title><link>https://myblog.050626.xyz/notes/math/hamming-number-solutions/</link><pubDate>Thu, 06 Jun 2024 10:59:06 +0000</pubDate><guid>https://myblog.050626.xyz/notes/math/hamming-number-solutions/</guid><description>&lt;h1 class="relative group"&gt;hamming number 题解思路
 &lt;div id="hamming-number-题解思路" class="anchor"&gt;&lt;/div&gt;
 
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 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-%e9%a2%98%e8%a7%a3%e6%80%9d%e8%b7%af" aria-label="锚点"&gt;#&lt;/a&gt;
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&lt;/h1&gt;

&lt;h2 class="relative group"&gt;&lt;strong&gt;题目&lt;/strong&gt;：&lt;a href="https://www.codewars.com/kata/526d84b98f428f14a60008da" target="_blank" rel="noreferrer"&gt;codewars网站&lt;/a&gt;
 &lt;div id="题目codewars网站" 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="#%e9%a2%98%e7%9b%aecodewars%e7%bd%91%e7%ab%99" aria-label="锚点"&gt;#&lt;/a&gt;
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&lt;/h2&gt;
&lt;hr&gt;
&lt;figure&gt;&lt;img
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 &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
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 &lt;a class="text-primary-300 dark:text-neutral-700 !no-underline" href="#solutions" aria-label="锚点"&gt;#&lt;/a&gt;
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&lt;/h2&gt;
&lt;figure&gt;&lt;img
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&lt;hr&gt;

&lt;h2 class="relative group"&gt;***个人第一题目思路：***就一个数的质因数分解，我只要检查这个数质因数是不是只有2 3 5就行了。
 &lt;div id="个人第一题目思路就一个数的质因数分解我只要检查这个数质因数是不是只有2-3-5就行了" 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="#%e4%b8%aa%e4%ba%ba%e7%ac%ac%e4%b8%80%e9%a2%98%e7%9b%ae%e6%80%9d%e8%b7%af%e5%b0%b1%e4%b8%80%e4%b8%aa%e6%95%b0%e7%9a%84%e8%b4%a8%e5%9b%a0%e6%95%b0%e5%88%86%e8%a7%a3%e6%88%91%e5%8f%aa%e8%a6%81%e6%a3%80%e6%9f%a5%e8%bf%99%e4%b8%aa%e6%95%b0%e8%b4%a8%e5%9b%a0%e6%95%b0%e6%98%af%e4%b8%8d%e6%98%af%e5%8f%aa%e6%9c%892-3-5%e5%b0%b1%e8%a1%8c%e4%ba%86" aria-label="锚点"&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;简单明了的思路，就是不断遍历，直到找到质因数只有2，3，5的数，然后放进列表内。&lt;/p&gt;</description></item><item><title>数论知识</title><link>https://myblog.050626.xyz/notes/math/%E6%95%B0%E8%AE%BA%E7%9F%A5%E8%AF%86/</link><pubDate>Wed, 15 May 2024 14:59:56 +0000</pubDate><guid>https://myblog.050626.xyz/notes/math/%E6%95%B0%E8%AE%BA%E7%9F%A5%E8%AF%86/</guid><description>&lt;h1 class="relative group"&gt;#数论知识
 &lt;div id="数论知识" 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="#%e6%95%b0%e8%ae%ba%e7%9f%a5%e8%af%86" aria-label="锚点"&gt;#&lt;/a&gt;
 &lt;/span&gt;
 
&lt;/h1&gt;
&lt;p&gt;:raised_hands:一些个人理解和思考（素数的一些建议看书，书本讲得不错，虽然有些点不加以细证），尤其Extened Chinese Remider Theroy那里，是个人思考总结的，仅供参考。:raised_hands:&lt;/p&gt;</description></item></channel></rss>