LeetCode (24) Happy Number
题目描述
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
本题比较简单,题目要求对任意一个正整数,不断各个数位上数字的平方和,若最终收敛为1,则该数字为happy number,否则程序可能从某个数开始陷入循环。这道题目我们只用根据规则进行计算,并使用一个哈希表存储已经出现过的数字即可。
class Solution {
public:
bool isHappy(int n) {
if (n < 1)
return false;
if (n == 1)
return true;
unordered_set<int> showedNums;
showedNums.insert(n);
while(true)
{
int s = 0;
while(n)
{
s += (n % 10) * (n % 10);
n = n / 10;
}
if (s == 1)
return true;
else if (showedNums.find(s) != showedNums.end())
return false;
n = s;
showedNums.insert(s);
}
}
};
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