Project Euler（12）
Posted on Friday, November 28th, 2008 at 12:25 am by Universe QueenProblem 12:
The sequence of triangle numbers is generated by adding the natural numbers. So the 7th triangle number would be 1 + 2 + 3 + 4 + 5 + 6 + 7 = 28. The first ten terms would be:
1, 3, 6, 10, 15, 21, 28, 36, 45, 55, …
Let us list the factors of the first seven triangle numbers:
1: 1
3: 1,3
6: 1,2,3,6
10: 1,2,5,10
15: 1,3,5,15
21: 1,3,7,21
28: 1,2,4,7,14,28We can see that 28 is the first triangle number to have over five divisors.
What is the value of the first triangle number to have over five hundred divisors?
Answer: 76576500
Implementation in Java:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 | public class Euler12 { public static void main(String[] args) { int result = 0; int i = 1; while( true ) { result += i; i++; int counter = 0; for( int j=1; j<=Math.sqrt(result); j++ ) { if( result%j == 0 ) { counter++; } } if( counter*2 > 500 ) { break; } } System.out.println( result ); } } |
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