Implement int sqrt(int x).
Compute and return the square root of x, where x is guaranteed to be a non-negative integer.
Since the return type is an integer, the decimal digits are truncated and only the integer part of the result is returned.
Example 1:
Input: 4
Output: 2
Example 2:
Input: 8
Output: 2
Explanation: The square root of 8 is 2.82842…, and since
the decimal part is truncated, 2 is returned.
方法一:
采用二分法
C++
int mySqrt(int x) {
if(x <= 1)
return x;
int left = 0;
int right = x;
int mid = 0;
while(left < right)
{
mid = (left + right) / 2;
if(x / mid >= mid)
left = mid + 1;
else
right = mid;
}
return right - 1;
}
方法二:采用牛顿迭代法
C++
int mySqrt(int x) {
//牛顿迭代法
if(x <= 1)return x;
long res = x;
while(res*res > x)
{
res = (res + x/res)/2;
}
return res;
}