Project Euler(12)

Posted on Friday, November 28th, 2008 at 12:25 am by Universe Queen

Problem 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: 1,2,4,7,14,28

We 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:

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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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