2018-10-10 18:03:03 -04:00
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---
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id: 5900f3db1000cf542c50feed
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2020-12-16 00:37:30 -07:00
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title: 问题110:丢番图互惠II
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2018-10-10 18:03:03 -04:00
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challengeType: 5
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videoUrl: ''
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2021-01-13 03:31:00 +01:00
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dashedName: problem-110-diophantine-reciprocals-ii
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2018-10-10 18:03:03 -04:00
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---
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2020-12-16 00:37:30 -07:00
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# --description--
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2018-10-10 18:03:03 -04:00
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2020-12-16 00:37:30 -07:00
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在下面的等式中,x,y和n是正整数。 1 / `x` + 1 / `y` = 1 / `n`可以证实,当`n` = 1260时,存在113个不同的解,并且这是`n的`最小值,其中不同解的总数超过100。 `n的`最小值是多少,不同解决方案的数量超过四百万?
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2018-10-10 18:03:03 -04:00
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2020-12-16 00:37:30 -07:00
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# --hints--
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2018-10-10 18:03:03 -04:00
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2020-12-16 00:37:30 -07:00
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`diophantineTwo`应该返回9350130049860600。
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2018-10-10 18:03:03 -04:00
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```js
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2020-12-16 00:37:30 -07:00
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assert.strictEqual(diophantineTwo(), 9350130049860600);
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2018-10-10 18:03:03 -04:00
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```
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2021-01-13 03:31:00 +01:00
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# --seed--
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## --seed-contents--
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```js
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function diophantineTwo() {
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return true;
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}
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diophantineTwo();
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```
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2020-12-16 00:37:30 -07:00
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# --solutions--
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2020-08-13 17:24:35 +02:00
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2021-01-13 03:31:00 +01:00
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```js
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// solution required
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```
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