202. Happy Number

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

  • 1^2 + 9^2 = 82
  • 8^2 + 2^2 = 68
  • 6^2 + 8^2 = 100
  • 1^2 + 0^2 + 0^2 = 1

 

如果迭代到最后为1了,就返回true

 

C++(0ms):

 1 class Solution {
 2 public:
 3     int fun(int n){
 4         int res = 0 ;
 5         while(n){
 6             res += pow(n%10 , 2) ;
 7             n /= 10 ;
 8         }
 9         return res ;
10     }
11     
12     bool isHappy(int n) {
13         bool flag[1000] = {0} ;
14         n = fun(n) ;
15         while(!flag[n]){
16             flag[n] = true ;
17             if (n == 1)
18                 return true ;
19             n = fun(n) ;
20         }
21         return false ;
22     }
23 };

 

posted @ 2017-11-01 16:51  __Meng  阅读(221)  评论(0编辑  收藏  举报