leetcode -- happy number 快乐数

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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

方法解析:

显然,set集合适合于判断各个数位的平方和是否重复,若已存在则false。


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

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