149.Max Points on a Line

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);
    }
};