Given n points on a 2D plane, find the maximum number of points that lie on the same straight line.
思考:考虑以下几种情况:
1.points中0、1、2个点;
2.points含相同点如{[0,0],[0,0]},{[1,1],[1,1],[2,2],[2,2]}};
3.斜率为无穷。
/** * Definition for a point. * struct Point { * int x; * int y; * Point() : x(0), y(0) {} * Point(int a, int b) : x(a), y(b) {} * }; */ class Solution { public: int maxPoints(vector<Point> &points) { int n=points.size(); //point个数 if(n<=2) return n; int i,j; int max=0; map<double,int> m; //每个point斜率集合 for(i=0;i<n;i++) { m.clear(); m[INT_MAX]=0; //斜率为无穷 int samepoint=1; //相同点个数 for(j=0;j<n;j++) { if(i==j) continue; if((points[j].x==points[i].x)&&(points[j].y==points[i].y)) samepoint++; else if(points[j].x==points[i].x) m[INT_MAX]++; else { double k=(double)(points[j].y-points[i].y)/(points[j].x-points[i].x); //斜率不为无穷 if(m.find(k)==m.end()) m[k]=1; else m[k]++; } } map<double,int>::iterator iter; for(iter=m.begin();iter!=m.end();iter++) { // cout<<iter->first<<" "<<iter->second+samepoint<<endl; if(iter->second+samepoint>max) max=iter->second+samepoint; } } return max; } };