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										 |  |  | title: 'Problem 379: Least common multiple count' | 
					
						
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										 |  |  | challengeType: 5 | 
					
						
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										 |  |  | forumTopicId: 302041 | 
					
						
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										 |  |  | dashedName: problem-379-least-common-multiple-count | 
					
						
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										 |  |  | # --description--
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										 |  |  | 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. | 
					
						
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										 |  |  | Let g be the summatory function of f, i.e.: g(n) = ∑ f(i) for 1 ≤ i ≤ n. | 
					
						
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										 |  |  | You are given that g(106) = 37429395. | 
					
						
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										 |  |  | Find g(1012). | 
					
						
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										 |  |  | # --hints--
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										 |  |  | `euler379()` should return 132314136838185. | 
					
						
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							|  |  |  | ```js | 
					
						
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										 |  |  | assert.strictEqual(euler379(), 132314136838185); | 
					
						
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										 |  |  | ``` | 
					
						
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										 |  |  | # --seed--
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							|  |  |  | ## --seed-contents--
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							|  |  |  | ```js | 
					
						
							|  |  |  | function euler379() { | 
					
						
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							|  |  |  |   return true; | 
					
						
							|  |  |  | } | 
					
						
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							|  |  |  | euler379(); | 
					
						
							|  |  |  | ``` | 
					
						
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										 |  |  | # --solutions--
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										 |  |  | ```js | 
					
						
							|  |  |  | // solution required | 
					
						
							|  |  |  | ``` |