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Happy number

2015-08-06 21:13 375 查看
Write an algorithm to determine if a number is "happy".

A happy number is a number defined by the following process: Starting with any positive integer, replace the number by the sum of the squares of its digits, and repeat the process until the number equals 1 (where it will stay), or it loops endlessly in a cycle
which does not include 1. Those numbers for which this process ends in 1 are happy numbers.

Example: 19 is a happy number

12 + 92 = 82
82 + 22 = 68
62 + 82 = 100

12 + 02 + 02 =
1

public class Solution {
    public boolean isHappy(int n) {
        HashSet<Integer> set = new HashSet<Integer>();
        while(n!= 1){
            if(set.contains(n)){
                return false;
            }
            set.add(n);
            n = getNextHappy(n);
        }
        return true;
        
    }
    public int getNextHappy(int n){
        int sum = 0;
        while(n != 0){
            sum += (n%10)*(n%10);
            n /= 10;
        }
        return sum;
    }
}
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