HDU 2105 The Center of Gravity

本文介绍了一个简单的程序设计问题,即如何计算由三个顶点坐标定义的三角形的重心坐标,并提供了一个C++代码示例。

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Problem Description
Everyone know the story that how Newton discovered the Universal Gravitation. One day, Newton walked 
leisurely, suddenly, an apple hit his head. Then Newton discovered the Universal Gravitation.From then
on,people have sovled many problems by the the theory of the Universal Gravitation. What's more, wo also
have known every object has its Center of Gravity.
Now,you have been given the coordinates of three points of a triangle. Can you calculate the center 
of gravity of the triangle?
 

Input
The first line is an integer n,which is the number of test cases.
Then n lines follow. Each line has 6 numbers x1,y1,x2,y2,x3,y3,which are the coordinates of three points.
The input is terminated by n = 0.
 

Output
For each case, print the coordinate, accurate up to 1 decimal places.
 

Sample Input
2 1.0 2.0 3.0 4.0 5.0 2.0 1.0 1.0 4.0 1.0 1.0 5.0 0
 

Sample Output
3.0 2.7 2.0 2.3
数学水题
LANGUAGE:C++
CODE:
#include<iostream>
using namespace std;
int main()
{
    int n;
    while(cin>>n)
    {
        if(n==0) break;
        while(n--)
        {
            double x,y;
            double x1,y1,x2,y2,x3,y3;
            cin>>x1>>y1>>x2>>y2>>x3>>y3;
            x=(x1+x2+x3)/3.0;
            y=(y1+y2+y3)/3.0;
            printf("%.1lf %.1lf\n",x,y);
        }
    }
    return 0;
}

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