题目
pow(x,n)
算法
* 直接模拟
* 直接模拟优化
* 迭代
代码
* 直接模拟
class Solution {
public:
double myPow(double x, int n) {
if (n < 0) return 1 / power(x, -n);
return power(x, n);
}
double power(double x, int n) {
if (n == 0) return 1;
double half = power(x, n / 2);
if (n % 2 == 0) return half * half;
return x * half * half;
}
};
* 直接模拟优化
class Solution {
public:
double myPow(double x, int n) {
if (n == 0) return 1;
double half = myPow(x, n / 2);
if (n % 2 == 0) return half * half;
else if (n > 0) return half * half * x;
else return half * half / x;
}
};
* 迭代
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;
}
};