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LeetCode Happy Number

2015-05-31 11:36 411 查看
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 number12 + 92 = 82
82 + 22 = 68
62 + 82 = 100
12 + 02 + 02 = 1
思路分析:这题比较简单,就是不断的做各个位置数字的平方加和操作,看是否会产生1。但是有一个地方要注意,就是怎么判断出现了循环,这里定义了一个Set,保存所有出现过的数字,对于计算得到的新的和,如果没有在Set中出现,就添加到Set中继续进行平方求和;否则,就是遇到了已经出现的数字,出现了循环,可以直接结束循环,返回false。
AC Code
public class Solution {

public boolean isHappy(int n) {
    HashSet<Integer> appearedNums = new HashSet<Integer>();
    while(!appearedNums.contains(n)){
        appearedNums.add(n);
        int sum = 0;
        while(n != 0){
            int digit = n % 10;
            n /= 10;
            sum += Math.pow(digit,2);
        }
        n = sum;
        if(sum == 1) return true;
    }
    return false;
    }
}
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