Happy Number

时间:2022-04-10 21:46:33

https://leetcode.com/problems/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

解题思路:

这题看似很复杂,其实不太难。唯一的难点,题目已经给出了,就是如果结局不是1的话,必然是一个loop。那么我们只要用一个set记录所有计算过的结果就行了。如果set重复了,并且没有1,就返回false。

public class Solution {
public boolean isHappy(int n) {
Set<Integer> set = new HashSet<Integer>();
int result = squaresDigits(n);
while(result != 1 && !set.contains(result)) {
set.add(result);
result = squaresDigits(result);
}
if(result == 1) {
return true;
}
return false;
} public int squaresDigits(int n) {
int result = 0;
while(n > 0) {
int lastDigit = n % 10;
result = result + lastDigit * lastDigit;
n = n / 10;
}
return result;
}
}