202. Happy Number 快乐数

  1. 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:
    Input: 19
    Output: true
    Explanation:
    12 + 92 = 82
    82 + 22 = 68
    62 + 82 = 100
    12 + 02 + 02 = 1
    编写一个算法来判断一个数是不是“快乐数”。
    一个“快乐数”定义为:对于一个正整数,每一次将该数替换为它每个位置上的数字的平方和,然后重复这个过程直到这个数变为 1,也可能是无限循环但始终变不到 1。如果可以变为 1,那么这个数就是快乐数。
    示例:
    输入: 19
    输出: true
    解释:
    12 + 92 = 82
    82 + 22 = 68
    62 + 82 = 100
    12 + 02 + 02 = 1

解题思路:这道题的关键在于怎么判断不是happy数,不是happy数算下来会一直循环,所以只要判断每个位置上的数的平方和已经出现过,就可以。
代码C++:
class Solution {
public:
bool isHappy(int n) {
unordered_map < int , int > ha;
int t =0;
while( t != 1)
{
if(ha.count(n))
return false;
ha[n] = 1;
t =0;
while(n)
{
t +=pow(n%10, 2);
n/=10;
}
n = t;
}
return true;
}
};

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转载自blog.csdn.net/weixin_42703504/article/details/84637307