//yuki186.cpp //Mon Mar 15 22:59:39 2021 #include #define INTINF 2147483647 #define LLINF 9223372036854775807 #define MOD 1000000007 #define rep(i,n) for (int i=0;i<(n);++i) using namespace std; using ll=long long; typedef pair P; inline ll mod(ll a, ll m){ return (a%m+m)%m; } ll extGCD(ll a, ll b, ll &p, ll &q){ if (b == 0){ p = 1; q = 0; return a; } ll d = extGCD(b, a%b, q, p); q -= a/b*p; return d; } //中国剰余定理。 //リターンは(r,m)。x ≡ r (mod m) //解なしの時は(0,-1)が帰ってくる。 pair ChineseRem(ll b1, ll m1, ll b2, ll m2){ ll p,q; ll d = extGCD(m1,m2,p,q); if ((b2-b1)%d!=0) return make_pair(0,-1); ll m = m1*(m2/d); ll tmp = (b2-b1)/d*p%(m2/d); ll r = mod(b1+m1*tmp,m); return make_pair(r,m); } int main(){ vector bs(3),ms(3); rep(i,3) cin >> bs[i] >> ms[i]; ll ansb = 0, ansm = 1; rep(i,3){ pair tmp = ChineseRem(ansb,ansm,bs[i],ms[i]); ansb = tmp.first; ansm = tmp.second; if (ansm==-1)break; } if (ansm==-1)cout << -1 << endl; else if (ansb==0) cout << ansm << endl; else cout << ansb << endl; }