149 Max Points on a Line 直线上最多的点数

    /** 
     * 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 res = 0;
        for (int i = 0; i < points.size(); ++i)
        {
            map<pair<int, int>, int> m;
            int duplicate = 1;
            for (int j = i + 1; j < points.size(); ++j) 
            {
                if (points[i].x == points[j].x && points[i].y == points[j].y) 
                {
                    ++duplicate;
                    continue;
                } 
                int dx = points[j].x - points[i].x;
                int dy = points[j].y - points[i].y;
                int d = gcd(dx, dy);
                ++m[{dx / d, dy / d}];
            }
            res = max(res, duplicate);
            for (auto it = m.begin(); it != m.end(); ++it)
            {
                res = max(res, it->second + duplicate);
            }
        }
        return res;
    }
    int gcd(int a, int b)
    {
        return (b == 0) ? a : gcd(b, a % b);
    }
};