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Happy Number

2015-06-23 09:32 260 查看
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
12 + 02 + 02 = 1


  以前一直是按时间顺序做的,从这题开始按难易程度做。

我的解法:

bool isHappy(int n) {
if(n <= 0)
return false;
set<int> st;
while (1)
{
int tmp = 0;
while (n > 0)
{
tmp += (n % 10)*(n % 10);
n /= 10;
}
if(tmp == 1)
return true;

else
{
if(st.find(tmp) != st.end())
return false;
else
st.insert(tmp);
}
n = tmp;
}
}


简洁版:

bool isHappy(int n) {
if(n <= 0)
return false;
unordered_set<int> st;
while (n != 1 && st.find(n) != st.end())
{
st.insert(n);
int tmp = 0;
do
{
tmp += (n % 10) * (n % 10);
} while ( (n /= 10) > 0);
n = tmp;
}
return n == 1;
}
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