#include #define EPS 1e-9 #define INF 1070000000LL #define MOD 1000000007LL #define fir first #define foreach(it,X) for(auto it=(X).begin();it!=(X).end();it++) #define numa(x,a) for(auto x: a) #define ite iterator #define mp make_pair #define rep(i,n) rep2(i,0,n) #define rep2(i,m,n) for(int i=m;i<(n);i++) #define pb push_back #define pf push_front #define sec second #define sz(x) ((int)(x).size()) #define ALL( c ) (c).begin(), (c).end() #define gcd(a,b) __gcd(a,b) #define mem(x,n) memset(x,n,sizeof(x)) #define endl "\n" using namespace std; template void deploy(std::ostream &os, const TUPLE &tuple){} template void deploy(std::ostream &os, const TUPLE &t){ os << (POS == 0 ? "" : ", ") << get(t); deploy(os, t); } template std::ostream& operator<<(std::ostream &os, std::pair &p){ os << "(" << p.first <<", " << p.second <<")";return os; } template std::ostream& operator<<(std::ostream &os, std::vector &v){ int remain = v.size(); os << "{"; for(auto e: v) os << e << (--remain == 0 ? "}" : ", "); return os; } template std::ostream& operator<<(std::ostream &os, std::set &v){ int remain = v.size(); os << "{"; for(auto e: v) os << e << (--remain == 0 ? "}" : ", "); return os; } template std::ostream& operator<<(std::ostream &os, std::map &mp){ int remain = mp.size(); os << "{"; for(auto e: mp) os << "(" << e.first << " -> " << e.second << ")" << (--remain == 0 ? "}" : ", "); return os; } #define DEBUG1(var0) { std::cerr << (#var0) << "=" << (var0) << endl; } #define DEBUG2(var0, var1) { std::cerr << (#var0) << "=" << (var0) << ", ";DEBUG1(var1); } #define DEBUG3(var0, var1, var2) { std::cerr << (#var0) << "=" << (var0) << ", ";DEBUG2(var1,var2); } #define DEBUG4(var0, var1, var2, var3) { std::cerr << (#var0) << "=" << (var0) << ", ";DEBUG3(var1,var2,var3); } using ll = long long; int main() { cin.tie(0); ios_base::sync_with_stdio(0); ll nums[3][2]; rep(i,3){ rep(j,2){ cin >> nums[i][j]; } swap(nums[i][0],nums[i][1]); } if (nums[0][1] == nums[1][1] && nums[1][1] == nums[2][1] && nums[0][1] == 0) { cout << nums[0][0] * nums[1][0] * nums[2][0] / gcd(gcd(nums[0][0],nums[1][0]),nums[2][0]) << endl; return 0; } ll ans = nums[0][1]; set memo2; while(true){ auto x = ans % nums[1][0]; if (x == nums[1][1]) { break; }else{ if (memo2.find(x) != memo2.end()) { cout << -1 << endl; return 0; } memo2.insert(x); ans += nums[0][0]; } } ll add = nums[0][0] * nums[1][0] / gcd(nums[0][0],nums[1][0]); set memo; while(true){ auto x = ans % nums[2][0]; if (x == nums[2][1]) { break; }else{ if (memo.find(x) != memo.end()) { cout << -1 << endl; return 0; } memo.insert(x); ans += add; } } cout << ans << endl; return 0; }