56 lines
		
	
	
		
			1.2 KiB
		
	
	
	
		
			Markdown
		
	
	
	
	
	
			
		
		
	
	
			56 lines
		
	
	
		
			1.2 KiB
		
	
	
	
		
			Markdown
		
	
	
	
	
	
| ---
 | ||
| id: 5900f3b11000cf542c50fec4
 | ||
| challengeType: 5
 | ||
| title: 'Problem 69: Totient maximum'
 | ||
| videoUrl: ''
 | ||
| localeTitle: 问题69大欧拉
 | ||
| ---
 | ||
| 
 | ||
| ## Description
 | ||
| <section id="description"> Euler的Totient函数φ(n)[有时称为phi函数]用于确定小于n的数字的数量,这些数字是n的相对素数。例如,如1,2,4,5,7和8都小于9且相对于9,φ(9)= 6。 <p> n相对素数φ(n)n /φ(n)2 1 1 2 3 1,2 2 1.5 4 1,3 2 2 5 1,2,3,4 4 1.25 6 1,5 2 3 7 1,2, 3,4,5,6 6 1.1666 ... 8 1,3,5,7 4 2 9 1,2,4,5,7,8 6 1.5 10 1,3,7,9 4 2.5 </p><p>可以看出,对于n≤10,n = 6产生最大n /φ(n)。找到n≤1,000,000的值,其中n /φ(n)是最大值。 </p></section>
 | ||
| 
 | ||
| ## Instructions
 | ||
| <section id="instructions">
 | ||
| </section>
 | ||
| 
 | ||
| ## Tests
 | ||
| <section id='tests'>
 | ||
| 
 | ||
| ```yml
 | ||
| tests:
 | ||
|   - text: <code>euler69()</code>应该返回510510。
 | ||
|     testString: 'assert.strictEqual(euler69(), 510510, "<code>euler69()</code> should return 510510.");'
 | ||
| 
 | ||
| ```
 | ||
| 
 | ||
| </section>
 | ||
| 
 | ||
| ## Challenge Seed
 | ||
| <section id='challengeSeed'>
 | ||
| 
 | ||
| <div id='js-seed'>
 | ||
| 
 | ||
| ```js
 | ||
| function euler69() {
 | ||
|   // Good luck!
 | ||
|   return true;
 | ||
| }
 | ||
| 
 | ||
| euler69();
 | ||
| 
 | ||
| ```
 | ||
| 
 | ||
| </div>
 | ||
| 
 | ||
| 
 | ||
| 
 | ||
| </section>
 | ||
| 
 | ||
| ## Solution
 | ||
| <section id='solution'>
 | ||
| 
 | ||
| ```js
 | ||
| // solution required
 | ||
| ```
 | ||
| </section>
 |