45 lines
		
	
	
		
			729 B
		
	
	
	
		
			Markdown
		
	
	
	
	
	
		
		
			
		
	
	
			45 lines
		
	
	
		
			729 B
		
	
	
	
		
			Markdown
		
	
	
	
	
	
|   | --- | ||
|  | id: 5900f4e81000cf542c50fffa | ||
|  | title: 'Problem 379: Least common multiple count' | ||
|  | challengeType: 5 | ||
|  | forumTopicId: 302041 | ||
|  | dashedName: problem-379-least-common-multiple-count | ||
|  | --- | ||
|  | 
 | ||
|  | # --description--
 | ||
|  | 
 | ||
|  | Let f(n) be the number of couples (x,y) with x and y positive integers, x ≤ y and the least common multiple of x and y equal to n. | ||
|  | 
 | ||
|  | Let g be the summatory function of f, i.e.: g(n) = ∑ f(i) for 1 ≤ i ≤ n. | ||
|  | 
 | ||
|  | You are given that g(106) = 37429395. | ||
|  | 
 | ||
|  | Find g(1012). | ||
|  | 
 | ||
|  | # --hints--
 | ||
|  | 
 | ||
|  | `euler379()` should return 132314136838185. | ||
|  | 
 | ||
|  | ```js | ||
|  | assert.strictEqual(euler379(), 132314136838185); | ||
|  | ``` | ||
|  | 
 | ||
|  | # --seed--
 | ||
|  | 
 | ||
|  | ## --seed-contents--
 | ||
|  | 
 | ||
|  | ```js | ||
|  | function euler379() { | ||
|  | 
 | ||
|  |   return true; | ||
|  | } | ||
|  | 
 | ||
|  | euler379(); | ||
|  | ``` | ||
|  | 
 | ||
|  | # --solutions--
 | ||
|  | 
 | ||
|  | ```js | ||
|  | // solution required | ||
|  | ``` |