#include #include #include #include #include #include #include #include using namespace std; #define int long long #define FOR(i, a, b) for(int i=(a);i<(b);i++) #define RFOR(i, a, b) for(int i=(b-1);i>=(a);i--) #define REP(i, n) for(int i=0; i<(n); i++) #define RREP(i, n) for(int i=(n-1); i>=0; i--) #define ALL(a) (a).begin(),(a).end() #define UNIQUE_SORT(l) sort(ALL(l)); l.erase(unique(ALL(l)), l.end()); #define CONTAIN(a, b) find(ALL(a), (b)) != (a).end() #define array2(type, x, y) array, x> #define vector2(type) vector > #define out(...) //printf(__VA_ARGS__) typedef pair pos; int pos::*x = &pos::first; int pos::*y = &pos::second; int dxy[] = {0, 1, 0, -1, 0}; /*================================*/ int gcd(int m, int n) { while(m % n != 0) { int r = m % n; m = n; n = r; } return n; } signed main() { int m, n; cin >> m >> n; int gcdmn = gcd(m, n); while(gcdmn > 1) { m /= gcdmn; n /= gcdmn; gcdmn = gcd(m, n); } //printf("%lld / %lld\n", m, n); int cnt = 0; while(1) { if (m > n) { // 仮分数の場合: 1を引く m -= n; cnt++; } if (m < n) { // 真分数の場合: 逆数をとる swap(m, n); cnt++; } if (n == 1) { cout << cnt + m - 1 << endl; break; } } return 0; }