Question:
Divide two integers without using multiplication, division and mod operator.
Answer:
Method: Using Divide and Conquer method. Quickly!!!
class Solution {
public:
int divide(int dividend, int divisor){
unsigned long dvd = dividend < 0 ? -dividend : dividend;
unsigned long dvs = divisor < 0 ? -divisor : divisor;
if (dvd < dvs) return 0;
bool nega = (dividend > 0) ^ (divisor > 0); //nega = true: -xxx; =false: +xxx.
unsigned long originDvs = dvs;
int power = 0;
unsigned long result = 0;
while (dvs < dvd){
dvs = dvs << 1;
power++;
} //dvd < dvs now
while (dvd >= originDvs){
if (dvd >= dvs){
dvd -= dvs;
result += (unsigned long) 1 << power;
}
while(dvd < dvs){ //to get biggest dvs < dev everytime
dvs = dvs >> 1;
power--;
}
}
return nega? -result : result;
}
};
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