using System; using System.IO; using System.Linq; using System.Text; using System.Collections.Generic; using System.Diagnostics; using System.Numerics; using Enu = System.Linq.Enumerable; class Program { static readonly int Mod = (int)1e9 + 7; public void Solve() { int N = Reader.Int(); BigInteger[] B = new BigInteger[N], M = new BigInteger[N]; BigInteger[] A = new BigInteger[N]; for (int i = 0; i < N; i++) { A[i] = 1; B[i] = Reader.Int(); M[i] = Reader.Int(); } BigInteger x, m; LinearCongruence(A, B, M, out x, out m); if (m < 0) Console.WriteLine(-1); else { if (x == 0) x += m; x %= Mod; Console.WriteLine(x); } } // A[i] * X % M[i] = B[i] % M[i] // X % m = x static void LinearCongruence(BigInteger[] A, BigInteger[] B, BigInteger[] M, out BigInteger x, out BigInteger m) { x = 0; m = 1; for (int i = 0; i < A.Length; i++) { BigInteger a = A[i] * m; BigInteger b = B[i] - A[i] * x; BigInteger d = BigInteger.GreatestCommonDivisor(M[i], a); if (b % d != 0) { x = m = -1; return; } BigInteger t = b / d * ModInverse(a / d, M[i] / d) % (M[i] / d); x = x + m * t; m *= M[i] / d; } x = (x % m + m) % m; } static BigInteger ModInverse(BigInteger N, BigInteger mod) { BigInteger x = 0, y = 0; ExtGCD(N, mod, ref x, ref y); return (x % mod + mod) % mod; } static BigInteger ExtGCD(BigInteger a, BigInteger b, ref BigInteger x, ref BigInteger y) { if (b == 0) { x = 1; y = 0; return a; } BigInteger res = ExtGCD(b, a % b, ref y, ref x); y -= (a / b) * x; return res; } } class Entry { static void Main() { new Program().Solve(); } } class Reader { private static TextReader reader = Console.In; private static readonly char[] separator = { ' ' }; private static readonly StringSplitOptions op = StringSplitOptions.RemoveEmptyEntries; private static string[] A = new string[0]; private static int i; private static void Init() { A = new string[0]; } public static void Set(TextReader r) { reader = r; Init(); } public static void Set(string file) { reader = new StreamReader(file); Init(); } public static bool HasNext() { return CheckNext(); } public static string String() { return Next(); } public static int Int() { return int.Parse(Next()); } public static long Long() { return long.Parse(Next()); } public static double Double() { return double.Parse(Next()); } public static int[] IntLine() { return Array.ConvertAll(Split(Line()), int.Parse); } public static int[] IntArray(int N) { return Enu.Range(0, N).Select(i => Int()).ToArray(); } public static int[][] IntTable(int H) { return Enu.Range(0, H).Select(i => IntLine()).ToArray(); } public static string[] StringArray(int N) { return Enu.Range(0, N).Select(i => Line()).ToArray(); } public static string Line() { return reader.ReadLine().Trim(); } private static string[] Split(string s) { return s.Split(separator, op); } private static string Next() { CheckNext(); return A[i++]; } private static bool CheckNext() { if (i < A.Length) return true; string line = reader.ReadLine(); if (line == null) return false; if (line == "") return CheckNext(); A = Split(line); i = 0; return true; } }