#include using namespace std; #define rep(i, n) for(int i = 0; i < n; i++) #define rep2(i, x, n) for(int i = x; i <= n; i++) #define rep3(i, x, n) for(int i = x; i >= n; i--) #define elif else if #define sp(x) fixed << setprecision(x) #define pb push_back #define eb emplace_back #define all(x) x.begin(), x.end() #define sz(x) (int)x.size() using ll = long long; using pii = pair; using pil = pair; using pli = pair; using pll = pair; const int MOD = 1000000007; //const int MOD = 998244353; const int inf = (1<<30)-1; const ll INF = (1LL<<60)-1; const double pi = acos(-1.0); const double EPS = 1e-10; template bool chmax(T &x, const T &y) {return (x < y)? (x = y, true) : false;}; template bool chmin(T &x, const T &y) {return (x > y)? (x = y, true) : false;}; //ユークリッドの互除法を用いた計算 //計算量 O(log(max(A, B))) template struct Euclid{ Euclid() = default; T gcd(const T &a, const T &b) const{ if(b == 0) return a; else return gcd(b, a%b); } T lcm(const T &a, const T &b) const {return a*(b/gcd(a,b));} T extgcd(const T &a, const T &b, T &x, T &y) const{ if(b == 0) {x = 1, y = 0; return a;} T g = extgcd(b, a%b, y, x); y -= (a/b)*x; return g; } T mod(const T &a, const T &m) const{ T ret = a%m; return ret+(ret < 0? m : 0); } T modinv(const T &a, const T &m) const{ //aとmは互いに素 T x, y; extgcd(a, m, x, y); return mod(x, m); } T floor_sum(const T &n, const T &m, T a, T b) const{ //Σ(floor((a*i+b)/m)) (0<=i Chinese_rem(const T &a1, const T &m1, const T &a2, const T &m2) const{ T x, y, g = extgcd(m1, m2, x, y); if((a2-a1)%g != 0) return make_pair(0, -1); T m = m1*(m2/g); T tmp = mod(x*((a2-a1)/g), m2/g); T a = (m1*tmp+a1) % m; return make_pair(a, m); } T Garner(vector a, vector m, const T &M) const{ m.pb(M); vector coeffs(sz(m), 1); vector constants(sz(m), 0); rep(k, sz(a)){ T t = mod((a[k]-constants[k]) * modinv(coeffs[k], m[k]), m[k]); rep2(i, k+1, sz(m)-1){ constants[i] += t*coeffs[i], constants[i] %= m[i]; coeffs[i] *= m[k], coeffs[i] %= m[i]; } } return constants.back(); } }; int main(){ ll a[3], m[3]; rep(i, 3) cin >> a[i] >> m[i]; Euclid E; ll A = 0, M = 1; rep(i, 3){ pll p = E.Chinese_rem(A, M, a[i], m[i]); if(p.second == -1) {cout << -1 << endl; return 0;} tie(A, M) = p; } cout << (A == 0? M : A) << endl; }