Project Euler(52)

Posted on Friday, June 26th, 2009 at 10:07 pm by Universe Queen

Problem 52:

It can be seen that the number, 125874, and its double, 251748, contain exactly the same digits, but in a different order.

Find the smallest positive integer, x, such that 2x, 3x, 4x, 5x, and 6x, contain the same digits.

Answer: 142857

Implementation in Java:

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public class Euler52 
{
	public static String rearrangeNumber( long number )
	{
		char[] n = String.valueOf( number ).toCharArray();
 
		for( int i=0; i<n.length-1; i++ )
		{
			for(  int j=0; j<n.length-i-1; j++ )
			{
				if( n[j] > n[j+1] )
				{
					char tmp = n[j];
					n[j] = n[j+1];
					n[j+1] = tmp;
				}
			}
		}
 
		return new String( n );
	}
 
 
	public static void main(String[] args)
	{
		long result = 1;
 
		while( true )
		{
			String n = rearrangeNumber(result);
 
			if( n.compareTo(rearrangeNumber(result*2)) == 0 && 
				n.compareTo(rearrangeNumber(result*3)) == 0 &&
				n.compareTo(rearrangeNumber(result*4)) == 0 &&
				n.compareTo(rearrangeNumber(result*5)) == 0 &&
				n.compareTo(rearrangeNumber(result*6)) == 0)
			{
				break;
			}
 
			result++;
		}
 
		System.out.println( result );
	}
}

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