// yukicoder: No.816 Beautiful tuples // 2019.6.16 bal4u #include #include int gcd(int a, int b) { int r; while (b != 0) r = a % b, a = b, b = r; return a; } int q[100], sz; int A, B, C; int check(int x) { if (x == A) return 0; if (x == B) return 0; if ((A+x) % B) return 0; return (B+x) % A == 0; } int main() { int g, S, s; scanf("%d%d", &A, &B); g = gcd(A, B); if (g > 1) A /= g, B /= g; S = A + B, s = (int)sqrt((double)S); for (C = 1; C <= s; C++) { if (S % C == 0) { if (check(C)) break; q[sz++] = S/C; } } if (C <= s) C *= g; else { for (s = sz-1; ; s--) { if (s < 0) { C = -1; break; } if (check(q[s])) { C = g*q[s]; break; } } } printf("%d\n", C); return 0; }