题目链接
tag:
- Medium;
question:
Implement pow(x, n), which calculates x raised to the power n(xn).
Example 1:
Input: 2.00000, 10
Output: 1024.00000
Example 2:
Input: 2.10000, 3
Output: 9.26100
Example 3:
Input: 2.00000, -2
Output: 0.25000
Explanation: 2-2 = 1/22 = 1/4 = 0.25
Note:
- -100.0 < x < 100.0
- n is a 32-bit signed integer, within the range [−231, 231 − 1]
思路:
考虑边界条件较多,然后用到除2的数学关系式即可,我们让i初始化为n,然后看i是否是2的倍数,是的话x乘以自己,否则res乘以x,i每次循环缩小一半,直到为0停止循环。最后看n的正负,如果为负,返回其倒数,参见代码如下:
class Solution {
public:
double myPow(double x, int n) {
double res = 1.0;
for (int i=n; i!=0; i /= 2) {
if (i % 2 != 0) res *= x;
x *= x;
}
return n < 0 ? 1 / res : res;
}
};