Happy Number

Description:

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

Code:

 1  bool isHappy(int n) {
 2         /*这道题的核心问题在于怎么判断是否为死循环。可以考虑：如果重复出现一个数字则说明将陷入死循环
 3         一个int型数据经计算后的最大值为9*9*10=810.因此有810个数据需要记录。
 4         备注：刚开始，有想到这个思路，但是没有分析到一个int型数据经计算后的最大值为9*9*10=810，所需空间并没有想象中那么大。
 5         */
 6         int result = 0;
 7         int data[1000] = {0};
 8         while (1)
 9         {
10             result = 0;
11             while (n)
12             {
13                 result += (n%10)*(n%10);
14                 n = n/10;
15             }
16             if (result == 1)
17                 return true;
18             else
19             {
20                 if (data[result] == 1)
21                     return false;
22                 else
23                     data[result] = 1;
24             }
25             n = result;
26         }
27     }

 PS:

16位整数:-32768到32767

32位整数中:-2147483648到2147 483 647

posted @ 2015-06-24 22:37  Rosanne  阅读(212)  评论(0)  编辑  收藏  举报