15.Pow(x, n)

  • Pow(x, n)
    Total Accepted: 88351 Total Submissions: 317095 Difficulty: Medium
    Implement pow(x, n).
    思路:a.循环迭代求解(O(n)n次乘法运算)
    仔细想想,做了很多重复工作
    b.如何利用已经结论呢
    28=222....2
    28=(24)ans(ans24)

    思路来了,二分,分奇偶讨论,复杂度为O(log(n))
Input:2.00000 -2147483648
Output:inf
Expected:0.00000

#define IMIN numeric_limits<int>::min()
class Solution {
public:
    double myPow(double x, int n) {
        int is_min=0;
        if(n<0){
            x=1/x;
            if(n==IMIN){n=abs(n+1);is_min=1;}//处理负数绝对值越界,并标记
            else n=abs(n);
        }
        if(n==0)return 1;
        int sign=-1;
        if(n%2==0)sign=0;//判断奇偶
        else sign=1;
        double left = myPow(x,n/2);//二分乘法
        double res=0;
        if(sign==0)res= left*left;
        else res= left*left*x;
        if(is_min)res = res*x;//为负数边界转为正数,少乘了一个
        return res;
    }
};
posted @ 2016-04-19 09:45  Free_Open  阅读(201)  评论(0编辑  收藏  举报