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
1^2 +9^2 = 82
8^2 + 2^2 = 68
6^2 + 8^2 = 100
1^2 + 0^2 + 0^2 = 1
关键点:之前题也做过了,如何判断这个数
在进行操作后还是没变?我们可以利用Set集合来进行判断,代码如下:
public boolean isHappy(int n) {
Set<Integer> OutLoop = new HashSet<Integer>();
int sum = 0;//当前和
int rail_num = 0;//尾数
//关键是如何来停止这个 while循环呢?
//如果n不能再加入,那么就停止Loop
while(OutLoop.add(n)){
sum = 0;
while (n > 0) {
rail_num = n%10;
sum += rail_num*rail_num;
n /= 10;
}
if(sum==1) return true;
else n = sum;
}
return false;
}
快乐数判定算法

本文介绍了一种用于判断正整数是否为快乐数的算法。快乐数是指通过将该数替换为其各位数字平方之和,重复此过程直到结果为1或形成不包含1的循环。文章提供了具体的代码实现,并使用了Set集合来避免无限循环。
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