题目大意:给一个T表示T组测试样例,接下来每行六个数表示两个圆的二维坐标x,y以及半径。问有多少条公共切线?如果有无数条输出-1
思路:将几种圆位置的情况利用两点间距离公式判断一下,防止精度问题直接判断距离的平方。
Code:
#include <iostream>
#include <algorithm>
#include <cmath>
#include <cstring>
using namespace std;
int x1, yy1, r1;
int x2, yy2, r2;
//两点间距离的平方
inline int calc_len (int x1, int y1, int x2, int y2) {
return ((x1 - x2) * (x1 - x2) + (y1 - y2) * (y1 - y2));
}
int main() {
int T;
cin >> T;
while (T--) {
cin >> x1 >> yy1 >> r1;
cin >> x2 >> yy2 >> r2;
if (x1 == x2 && yy1 == yy2) {
if (r1 == r2) {
cout << -1 << endl;
} else {
cout << 0 << endl;
}
continue;
}
int db_len = calc_len(x1, yy1, x2, yy2);
int db_rr1 = (r1 + r2) * (r1 + r2);
int db_rr2 = (r1 - r2) * (r1 - r2);
if (db_len < db_rr2) {
cout << 0 << endl;
} else if (db_len == db_rr2) {
cout << 1 << endl;
} else if (db_len < db_rr1) {
cout << 2 << endl;
} else if (db_len == db_rr1) {
cout << 3 << endl;
} else {
cout << 4 << endl;
}
}
return 0;
}