#include //const static double de_PI = 3.14159265358979323846; //const static int de_MOD = 1000000007; //const static int de_MAX = 999999999; //const static int de_MIN = -999999999; inline void Erase_LeadingZero(std::string &A) { if (A.length() <= 18) { unsigned long long temp = std::stoull(A); A = std::to_string(temp); } else { std::reverse(A.begin(), A.end()); while (A.back() == '0') { A.pop_back(); } std::reverse(A.begin(), A.end()); if (A == "") { A = "0"; } } } inline std::string Add_MultiplePrecision(const std::string &str1, const std::string &str2) { std::string A = str1, B = str2; int al = A.length(), bl = B.length(), cl = std::max(A.length(), B.length()); std::vector a(cl), b(cl), c(cl + 1); for (int i = 0; i < al; i++) { a[i] = A[al - 1 - i] - '0'; } for (int i = 0; i < bl; i++) { b[i] = B[bl - 1 - i] - '0'; } int carry = 0; for (int i = 0; i < cl; i++) { c[i] = (a[i] + b[i] + carry) % 10; c[i + 1] = carry = (a[i] + b[i] + carry) / 10; } std::string ans(cl, 0); for (int i = 0; i < cl; i++) { ans[cl - i - 1] = static_cast(c[i]) + '0'; } Erase_LeadingZero(ans); return(ans); } inline std::string Subtract_MultiplePrecision(const std::string &str1, const std::string &str2) { std::string A = str1, B = str2; int al = A.length(), bl = B.length(); std::vector a(al), b(al), c(al); for (int i = 0; i < al; i++) { a[i] = A[al - 1 - i] - '0'; } for (int i = 0; i < bl; i++) { b[i] = B[bl - 1 - i] - '0'; } for (int i = 0; i < al; i++) { if (a[i] >= b[i]) { c[i] = a[i] - b[i]; } else { c[i] = a[i] + 10 - b[i]; b[i + 1]++; } } std::string ans(al, 0); for (int i = 0; i < al; i++) { ans[al - i - 1] = static_cast(c[i]) + '0'; } Erase_LeadingZero(ans); return(ans); } inline std::string Multiply_MultiplePrecision(const std::string &str1, const std::string &str2) { std::string A = str1, B = str2; int al = A.length(), bl = B.length(), cl = al + bl; std::vector a(al), b(bl), c(cl + 1); for (int i = 0; i < al; i++) { a[i] = A[al - 1 - i] - '0'; } for (int i = 0; i < bl; i++) { b[i] = B[bl - 1 - i] - '0'; } for (int i = 0; i < bl; i++) { for (int j = 0; j < al; j++) { c[i + j] += b[i] * a[j]; } } for (int i = 0; i < cl; i++) { c[i + 1] += c[i] / 10; c[i] = c[i] % 10; } std::string ans(cl, 0); for (int i = 0; i < cl; i++) { ans[cl - i - 1] = static_cast(c[i]) + '0'; } Erase_LeadingZero(ans); return(ans); } inline bool Compare_MultiplePrecision(const std::string &A, const std::string &B) { if (A == B) { return true; } if (A.length() > B.length()) { return true; } else if (A.length() < B.length()) { return false; } else { unsigned int i = 0; while (A[i] == B[i]) { i++; } if (A[i] > B[i]) { return true; } else { return false; } } } inline std::string Greatest_Common_Divisor(const std::string &str1, const std::string &str2) { std::string A = str1, B = str2; int al = A.length(), bl = B.length(); while (abs(al - bl) >= 2) { std::string temp; if (al > bl) { temp = B; for (int i = 0; i < al - bl - 1; i++) { temp += "0"; } A = Subtract_MultiplePrecision(A, temp); al = A.length(); } else { temp = A; for (int i = 0; i < bl - al - 1; i++) { temp += "0"; } B = Subtract_MultiplePrecision(B, temp); bl = B.length(); } } while (A != "0" && B != "0") { if (Compare_MultiplePrecision(A, B)) { A = Subtract_MultiplePrecision(A, B); } else { B = Subtract_MultiplePrecision(B, A); } } return(Add_MultiplePrecision(A, B)); } int main(void) { //std::ifstream inf("123.txt"); std::cin.rdbuf(inf.rdbuf()); std::string A, B, S, P; std::cin >> A >> B; S = Add_MultiplePrecision(A, B); P = Multiply_MultiplePrecision(A, B); std::cout << Greatest_Common_Divisor(S, P) << std::endl; }