#pragma GCC optimize("O3") #pragma GCC optimize(2) #pragma GCC optimize(3) #pragma GCC optimize("Ofast") #pragma GCC optimize("inline") #pragma GCC optimize("-fgcse") #pragma GCC optimize("-fgcse-lm") #pragma GCC optimize("-fipa-sra") #pragma GCC optimize("-ftree-pre") #pragma GCC optimize("-ftree-vrp") #pragma GCC optimize("-fpeephole2") #pragma GCC optimize("-ffast-math") #pragma GCC optimize("-fsched-spec") #pragma GCC optimize("unroll-loops") #pragma GCC optimize("-falign-jumps") #pragma GCC optimize("-falign-loops") #pragma GCC optimize("-falign-labels") #pragma GCC optimize("-fdevirtualize") #pragma GCC optimize("-fcaller-saves") #pragma GCC optimize("-fcrossjumping") #pragma GCC optimize("-fthread-jumps") #pragma GCC optimize("-funroll-loops") #pragma GCC optimize("-freorder-blocks") #pragma GCC optimize("-fschedule-insns") #pragma GCC optimize("inline-functions") #pragma GCC optimize("-ftree-tail-merge") #pragma GCC optimize("-fschedule-insns2") #pragma GCC optimize("-fstrict-aliasing") #pragma GCC optimize("-falign-functions") #pragma GCC optimize("-fcse-follow-jumps") #pragma GCC optimize("-fsched-interblock") #pragma GCC optimize("-fpartial-inlining") #pragma GCC optimize("no-stack-protector") #pragma GCC optimize("-freorder-functions") #pragma GCC optimize("-findirect-inlining") #pragma GCC optimize("-fhoist-adjacent-loads") #pragma GCC optimize("-frerun-cse-after-loop") #pragma GCC optimize("inline-small-functions") #pragma GCC optimize("-finline-small-functions") #pragma GCC optimize("-ftree-switch-conversion") #pragma GCC optimize("-foptimize-sibling-calls") #pragma GCC optimize("-fexpensive-optimizations") #pragma GCC optimize("inline-functions-called-once") #pragma GCC optimize("-fdelete-null-pointer-checks") #pragma GCC optimize("Ofast") //#pragma GCC target("avx,avx2,fma") //#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native") //#pragma GCC optimization ("unroll-loops") #include using namespace std; __int128 gcd(__int128 a,__int128 b) { if(a < 0) a*=-1; if(b < 0) b*=-1; if(b>0) return gcd(b,a%b); return a; } __int128 inv(__int128 a,__int128 m) { __int128 m0 = m, y = 0, x = 1; if(m==1) return 0; while(a>1) { __int128 q = a/m; __int128 t = m; m = a%m; a = t; t = y; y = x - q*y; x = t; } if(x<0) x += m0; return x; } bool func(__int128 A,__int128 B,__int128 C) { if(A==0 && B==0) { if(C==0) { return true; } else { return false; } } if(A==0) { if(C%B==0) return true; else return false; } if(B==0) { if(C%A==0) return true; else return false; } __int128 g = gcd(A,B); if(C%g!=0) { return false; } if(g > 1) { return func(A/g,B/g,C/g); } else { __int128 c = inv(A,B); __int128 x = (c*C)%B; __int128 y = (C - (A*x))/B; if(y<0) { return false; } while(gcd(x,y)!=1 && y>=0) { x += B; y -= A; } if(y<0) { return false; } return true; } return false; } int main(void) { cin.tie(0); ios::sync_with_stdio(false); long long int A,B,C; cin >> A >> B >> C; long long int g = gcd(A,B); long long int x = ceil((C*1.0)/g); while(1) { if(func(A,B,x*g)) { cout << x*g << '\n'; break; } x++; } return 0; }