Project Euler（52）
Posted on Friday, June 26th, 2009 at 10:07 pm by Universe QueenProblem 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:
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 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 | 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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