56 lines
1.2 KiB
Markdown
56 lines
1.2 KiB
Markdown
---
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id: 5900f4c41000cf542c50ffd6
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challengeType: 5
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title: 'Problem 343: Fractional Sequences'
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videoUrl: ''
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localeTitle: 问题343:分数序列
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---
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## Description
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<section id="description">对于任何正整数k,分数xi / yi的有限序列ai由以下定义:a1 = 1 / k且ai =(xi-1 + 1)/(yi-1-1)减少到最低项i> 1 。当ai达到某个整数n时,序列停止。 (即,当yi = 1时。)定义f(k)= n。例如,对于k = 20: <p> 1/20→2/19→3/18 = 1/6→2/5→3/4→4/3→5/2→6/1 = 6 </p><p>所以f(20)= 6。 </p><p>对于1≤k≤100,f(1)= 1,f(2)= 2,f(3)= 1且Σf(k3)= 118937。 </p><p>找Σf(k3)为1≤k≤2×106。 </p></section>
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## Instructions
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<section id="instructions">
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</section>
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## Tests
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<section id='tests'>
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```yml
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tests:
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- text: <code>euler343()</code>应该返回269533451410884200。
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testString: 'assert.strictEqual(euler343(), 269533451410884200, "<code>euler343()</code> should return 269533451410884200.");'
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```
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</section>
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## Challenge Seed
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<section id='challengeSeed'>
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<div id='js-seed'>
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```js
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function euler343() {
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// Good luck!
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return true;
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}
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euler343();
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```
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</div>
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</section>
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## Solution
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<section id='solution'>
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```js
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// solution required
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```
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</section>
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