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
class Solution {
public:
    bool isHappy(int n) {
        set<int> visit;
        
        while(true)
        {
            if(n == 1)
                return true;
                
            vector<int> iVec;
            while(n)
            {
                iVec.push_back(n % 10);
                n /= 10;
            }
            
            for(int i = 0;i < iVec.size();++i)
                n = n + iVec[i] * iVec[i];
                
            if(visit.find(n) != visit.end())
                return false;
                
            visit.insert(n);
        }
    }
};

 

posted on 2015-07-08 09:25  风云逸  阅读(96)  评论(0)    收藏  举报