56 lines
		
	
	
		
			1.0 KiB
		
	
	
	
		
			Markdown
		
	
	
	
	
	
		
		
			
		
	
	
			56 lines
		
	
	
		
			1.0 KiB
		
	
	
	
		
			Markdown
		
	
	
	
	
	
| 
								 | 
							
								---
							 | 
						|||
| 
								 | 
							
								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>
							 |