2018-10-10 18:03:03 -04:00
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---
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id: 5900f47f1000cf542c50ff91
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challengeType: 5
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title: 'Problem 274: Divisibility Multipliers'
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videoUrl: ''
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localeTitle: 问题274：可分性乘数
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---
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## Description
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<section id="description">对于每个整数p> 1互质到10，有一个正的可分性乘数m <p，它对任何正整数n的后续函数保持p的可除性。 <p> f（n）=（除了n的最后一位以外的所有数字）+（n的最后一位）* m </p><p>也就是说，如果m是p的可分数乘数，则当且仅当n可被p整除时，f（n）可被p整除。 </p><p> （当n远大于p时，f（n）将小于n，并且f的重复应用为p提供乘法可除性测试。） </p><p>例如，113的可分性乘数是34。 </p><p> f（76275）= 7627 + 5 <em>34 = 7797：76275和7797都可以被113f（12345）= 1234 + 5</em> 34 = 1404：12345和1404整除都不能被113整除</p><p>对于10和小于1000互质的素数的可除性乘数的总和是39517.对于10和小于107互质的素数的可除数乘数的总和是多少？ </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>euler274()</code>应该返回1601912348822。
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2020-02-18 01:40:55 +09:00
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testString: assert.strictEqual(euler274(), 1601912348822);
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2018-10-10 18:03:03 -04:00
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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 euler274() {
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// Good luck!
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return true;
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}
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euler274();
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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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2020-08-13 17:24:35 +02:00
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/section>
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