UVa 11242 - Tour de France

// UVa 11242 - Tour de France
#include <iostream>
#include <vector>
#include <algorithm>
#include <stdio.h>
using namespace std;

int main() {

	int n, m;
	cin >> n;
	while (n) {
		cin >> m;
		int f[10], r[10];
		for (int i = 0; i < n; i++)
			cin >> f[i];
		for (int j = 0; j < m; j++)
			cin >> r[j];
		vector<double> d;
		for (int i = 0; i < n; i++)
			for (int j = 0; j < m; j++) {
				d.push_back(r[j] * 1.0 / f[i]);
			}
		sort(d.begin(), d.end());
		double sol = 0;
		for (int i = 1; i < d.size(); i++) {
			if (d[i] / d[i - 1] > sol)
				sol = d[i] / d[i - 1];
		}
		printf("%.2f\n", sol);

		cin >> n;
	}

	return 0;
}