LeetCode算法题之Pow(x, n)

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问题描述:

Implement pow(x, n).自己写函数实现乘方运算


解题思路:

直接实现肯定超时,并且要考虑指数为0,指数为1,指数为负,底数为0的特殊情况,此题用递归方法实现,

以下代码来自《剑指offer》,此代码写的太赞了,如果想详细了解解题思路请买书!!刚看完所以直接贴上去运行了,必然轻松A过,向大神致敬!!!

bool g_InvalidInput = false;bool equal(double num1, double num2);double PowerWithUnsignedExponent(double base, unsigned int exponent);class Solution{public:    double pow(double base, int exponent)    {        g_InvalidInput = false;        if(equal(base, 0.0) && exponent < 0)//默认一定范围外的数约等于0        {            g_InvalidInput = true;            return 0.0;        }        unsigned int absExponent = (unsigned int)(exponent);        if(exponent < 0)//指数小于0            absExponent = (unsigned int)(-exponent);        double result = PowerWithUnsignedExponent(base, absExponent);//递归实现        if(exponent < 0)            result = 1.0 / result;        return result;    }    double PowerWithUnsignedExponent(double base, unsigned int exponent)    {        if(exponent == 0)            return 1;        if(exponent == 1)            return base;        double result = PowerWithUnsignedExponent(base, exponent >> 1);//此处exponent做的是移位运算,比直接除2快的多,大神!!!        result *= result;        if((exponent & 0x1) == 1)            result *= base;        return result;    }    bool equal(double num1, double num2)    {        if((num1 - num2 > -0.0000001)                && (num1 - num2 < 0.0000001))            return true;        else            return false;    }};



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