LeetCode【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

  • 12 + 92 = 82
  • 82 + 22 = 68
  • 62 + 82 = 100
  • 12 + 02 + 02 = 1

题目也是比较简单,AC代码如下:

bool isHappy(int n) {
        if(n<=0)
            return false;
        else if(n==1)
            return true;
        else
        {
            int squSum=n;
            int LUT[10];
            for(int i=0;i<10;i++)
                LUT[i] = i*i;
            vector<int> sum;
            while(squSum!=1)
            {
                sum.push_back(squSum);
                int tmp=squSum;
                squSum=0;
                while(tmp>=10)
                {
                    squSum=squSum+LUT[tmp%10];
                    tmp=tmp/10;
                }
                squSum=squSum+LUT[tmp];
                if(squSum == 1)
                    return true;
                vector<int>::iterator result = find( sum.begin( ), sum.end( ), squSum);
                if(result != sum.end())
                    break;
            }
            return false;       
        }
    }

注意下,用到了查找表,能省点时间就省点吧。

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