68 lines
834 B
Markdown
68 lines
834 B
Markdown
---
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id: 5900f4091000cf542c50ff1c
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title: 问题157：解决丢番图方程
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challengeType: 5
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videoUrl: ''
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---
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# --description--
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491/5000
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考虑具有a，b，p，n个正整数且a≤b的双色子方程1 / a + 1 / b = p / 10n。
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对于n = 1，此等式有20个解决方案，如下所示：
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1/1 + 1/1 = 20/10
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1/1 + 1/2 = 15/10
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1/1 + 1/5 = 12/10
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1/1 + 1/10 = 11/10
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1/2 + 1/2 = 10/10
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1/2 + 1/5 = 7/10
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1/2 + 1/10 = 6/10
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1/3 + 1/6 = 5/10
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1/3 + 1/15 = 4/10
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1/4 + 1/4 = 5/10
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1/4 + 1/20 = 3/10
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1/5 + 1/5 = 4/10
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1/5 + 1/10 = 3/10
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1/6 + 1/30 = 2/10
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1/10 + 1/10 = 2/10
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1/11 + 1/110 = 1/10
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1/12 + 1/60 = 1/10
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1/14 + 1/35 = 1/10
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1/15 + 1/30 = 1/10
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1/20 + 1/20 = 1/10
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对于1≤n≤9，该方程有多少个解？
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# --hints--
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`euler157()`应返回53490。
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```js
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assert.strictEqual(euler157(), 53490);
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```
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# --solutions--
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