#include #define int long long #define pii pair #define FOR(i,a,b) for(int i=(a);i<(b);++i) #define REP(i,n) FOR(i,0,n) #define ALL(c) (c).begin(),(c).end() #define ZERO(a) memset(a,0,sizeof(a)) #define MINUS(a) memset(a,0xff,sizeof(a)) #define MINF(a) memset(a,0x3f,sizeof(a)) #define POW(n) (1LL<<(n)) #define IN(i,a,b) (a <= i && i <= b) using namespace std; template inline bool CHMIN(T& a,T b) { if(a>b) { a=b; return 1; } return 0; } template inline bool CHMAX(T& a,T b) { if(a inline void SORT(T& a) { sort(ALL(a)); } template inline void REV(T& a) { reverse(ALL(a)); } template inline void UNI(T& a) { sort(ALL(a)); a.erase(unique(ALL(a)),a.end()); } const int MOD = 1000000007; const int INF = 0x3f3f3f3f3f3f3f3f; const double EPS = 1e-10; /* ---------------------------------------------------------------------------------------------------- */ // 拡張gcd int ext_gcd(int a, int b, int &x, int &y) { if (b == 0) { x = 1; y = 0; return a; } int q = a/b; int g = ext_gcd(b,a-q*b,x,y); int z = x-q*y; x = y; y = z; return g; } // 逆元 | a と m は互いに素 int inv_mod(int a, int m) { int x,y; ext_gcd(a,m,x,y); x %= m; if (x < 0) x += m; return x; } // 中国剰余定理 // x ≡ r (mod m) の (r,m) を返す.m = lcm(m_1,m_2,...) // 解なしの場合 (0,-1) を返す. pair crt(const vector &b, const vector &m) { int r = 0, M = 1; for (int i = 0; i < (int)b.size(); i++) { int p,q; int d = ext_gcd(M,m[i],p,q); if ((b[i]-r)%d != 0) return make_pair(0,-1); int tmp = (b[i]-r)/d*p%(m[i]/d); r += M*tmp; M *= m[i]/d; } r %= M; if (r < 0) r += M; return make_pair(r,M); } signed main() { cin.tie(0); ios_base::sync_with_stdio(false); cout << fixed << setprecision(10); vector b(3),m(3); bool all_zero = true; for (int i = 0; i < 3; i++) { cin >> b[i] >> m[i]; if (b[i]) all_zero = false; } pii ans = crt(b,m); if (ans.second < 0) cout << -1 << endl; else if (all_zero) cout << ans.second << endl; else cout << ans.first << endl; return 0; }