1. 程式人生 > >寫一個sqrt函式的方法

寫一個sqrt函式的方法

#include<stdio.h>
#include<iostream>
using namespace std;
int sqr(int n)
{
    int i;
    for (i = 1; i*i <= n; i++);
    return i - 1;
}
int main()
{
    int n;
    while (scanf("%d", &n) != EOF)
        printf("%d\n", sqr(n));
    return 0;
}

2.位運算-會超時!

#include<stdio.h>
#include<iostream>
using namespace std; int sqr(int n) { int i = 1; int tmp = 1; if (n <= 1) return n; while (n>=tmp) { i++; int cmp = i << 1; tmp += cmp - 1; } return i-1; } int main() { int n; while (scanf("%d", &n) != EOF) printf("%d
\n"
, sqr(n)); return 0; }

3.為什麼會想到二分???

#include<stdio.h>
#include<iostream>
int sqrt(int n)
{
    int low = 0;
    int high = n;
    while (low <= high)
    {
        //防止溢位
        long mid = (low + high) / 2;
        if (mid*mid == n)
            return mid;
        else if (mid*mid < n)
            low = (mid + 1
); else high = mid - 1; } return high; } int main() { int n; while(scanf("%d", &n)!=EOF) printf("%d\n", sqrt(n)); return 0; }

4.牛頓法
這裡寫圖片描述

這裡寫圖片描述

#include<stdio.h>
#include<iostream>
#include<math.h>
using namespace std;
int sqr(int n)
{
    double t = 1.0;
    while (fabs(t*t-n)>1e-6)
    {
        t = (t + n / t) / 2;
    }
    return t;
}
int main()
{
    int n;
    while (scanf("%d", &n) != EOF)
        printf("%d\n", sqr(n));
    return 0;
}