Leetcode 202 Happy Number

2018-01-12 14:47:06 浏览数 (1)

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

判断一个数是否为快乐数。

正常做法是不断迭代,用map记录出现过的数字,如果出现了则表示循环返回false,变成1则返回true。

做完正常的做法去看了一下discuss,有人通过观察发现,非快乐数都会在循环中出现4,

维基百科,涨姿势了,https://en.wikipedia.org/wiki/Happy_number#Sequence_behavior

代码语言:javascript复制
class Solution {
public:
    int fun(int x)
    {
        int ret = 0;
        while(x)
        {
            int now = x ;
            x /= 10;
            ret  = now * now;
        }
        return ret;
    }
    bool isHappy(int n) {
        while(1)
        {
            if(n == 1) return 1;
            if(n == 4) return 0;
            n = fun(n);
        }
    }
};

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