// * abc052_c // * abc110_d // * abc142_d // * arc067_c // * abc146_c // * abc061_c // * abc114_d // * abc114_c // * arc032_a // * arc034_c // * aoj_2706 // check list // * variable range // * immeditate value is int range(accumulate) // * index range(0 origin or 1 origin) // * input is complete? // * unued input // * misunderstand input(node edge and node point) #include using namespace std; //https://www2.slideshare.net/Roadagain/ss-71620380 //https://github.com/kurokoji/.cpp-Template/blob/master/template/template.cpp #define int long long struct Fast {Fast(){std::cin.tie(0);ios::sync_with_stdio(false);}} fast; /* cpp template {{{ */ /* short */ #define pb push_back #define eb emplace_back #define mp make_pair #define Fi first #define Se second #define ALL(v) begin(v), end(v) #define RALL(v) rbegin(v), rend(v) #define X real() #define Y imag() /* REPmacro */ #define REPS(i, a, n) for (ll i = (a); i < (ll)(n); ++i) #define REP(i, n) REPS(i, 0, n) #define RREP(i, n) REPS(i, 1, n + 1) #define DEPS(i, a, n) for (ll i = (a); i >= (ll)(n); --i) #define DEP(i, n) DEPS(i, n, 0) #define EACH(i, n) for (auto&& i : n) /* debug */ #define debug(x) cerr << #x << ":" << x << " " << "(L:" << __LINE__ << ")" << '\n'; /* alias */ using ll = long long; using ull = unsigned long long; using vi = vector; using vvi = vector; using vvvi = vector; using pii = pair; using D = double; using P = complex; using vs = vector; template using PQ = priority_queue; template using minPQ = priority_queue, greater >; /* const */ const int INF = 1001001001; const ll LINF = 1001001001001001001ll; const int MOD = 1e9 + 7; const D EPS = 1e-9; const int dx[] = {0, 1, 0, -1, 1, -1, 1, -1}, dy[] = {1, 0, -1, 0, 1, -1, -1, 1}; /* func */ inline bool inside(int y, int x, int H, int W) {return y >= 0 && x >= 0 && y < H && x < W;} template inline T in() {T x; cin >> x; return (x);} inline vs split(const string& t, char c) {vs v; stringstream s(t); string b; while(getline(s, b, c)) v.eb(b); return v;} template inline bool chmin(T& a, const T& b) {if (a > b) a = b; return a > b;} template inline bool chmax(T& a, const T& b) {if (a < b) a = b; return a < b;} template inline void print(const pair& p) {cout << p.first << " " << p.second << endl;} template inline void print(const T& x) {cout << x << '\n';} template inline void print(const vector>& v) {for (auto&& p : v) print(p);} template inline void print(const vector& v, string s = " ") {REP(i, v.size()) cout << v[i] << (i != (ll)v.size() - 1 ? s : "\n");} template < typename T > void pprint(T const& a){ std::cout << " " << a ; } template < typename... Args > void pp(Args... args){using swallow = std::initializer_list; (void)swallow{ (void( pprint(args) ), 0)... }; cout << endl; } // clang-format on /* }}} */ string enc(long long i,long long j){ return to_string(i)+" "+to_string(j); } long long gcd(long long a,long long b){ if(b==0)return a; return gcd(b,a%b); } //long long lcm=A*B/gcd(A,B); vector prime_factorize_(long long N) { vector primes(0); for(long long i=2;i*i<=N;i++){ while(N%i==0){ N/=i; primes.push_back(i); } } if(N!=1){ primes.push_back(N); } return primes; } vector > prime_factorize(long long N) { vector > res; for (long long a = 2; a * a <= N; ++a) {//O(N**1/2) if (N % a != 0) continue; long long ex = 0; // 指数 // 割れる限り割り続ける while (N % a == 0) { ++ex; N /= a; } // その結果を push res.push_back({a, ex}); } // 最後に残った数について if (N != 1) res.push_back({N, 1}); return res; } long long pow(long long a,long long b){ if(b==0) return 1; if(b==1) return a; if(b&1==0) return pow(a*a,b>>1); return a*pow(a,b-1); } signed main() { int A = in(); int B = in(); auto pP = prime_factorize(A+B); auto pA = prime_factorize(A); auto pB = prime_factorize(B); unordered_mapm; for(auto p:pA){ m[p.first]+=p.second; } for(auto p:pB){ m[p.first]+=p.second; } int ret = 1; for(auto p:pP){ //pp(p.first,p.second,m[p.first]); m[p.first]=min(p.second,m[p.first]); //pp(p.first,p.second,m[p.first]); ret *= pow(p.first,m[p.first]); // REP(i,m[p.first]){ // ret *= p.first; // } } cout << ret << endl; }