---
id: 5900f3d91000cf542c50feeb
challengeType: 5
title: 'Problem 108: Diophantine Reciprocals I'
videoUrl: ''
localeTitle: 问题108：丢番图互惠I
---

## Description
<section id="description">在下面的等式中，x，y和n是正整数。 1 / <var>x</var> + 1 / <var>y</var> = 1 / <var>n</var>对于<var>n</var> = 4，恰好有三种不同的解：1/5 + 1/20 = 1/4 <br> 1/6 + 1/12 = 1/4 <br> 1/8 + 1/8 = 1/4不同解的数量超过一千的<var>n的</var>最小值是多少？ </section>

## Instructions
<section id="instructions">
</section>

## Tests
<section id='tests'>

```yml
tests:
  - text: diophantineOne <code>diophantineOne()</code>应返回180180。
    testString: 'assert.strictEqual(diophantineOne(), 180180, "<code>diophantineOne()</code> should return 180180.");'

```

</section>

## Challenge Seed
<section id='challengeSeed'>

<div id='js-seed'>

```js
function diophantineOne() {
  // Good luck!
  return true;
}

diophantineOne();

```

</div>



</section>

## Solution
<section id='solution'>

```js
// solution required
```
</section>