from math import lcm

A, B, K = map(int, input().split())
if A > B:
    A, B = B, A

lcmv = lcm(A, B)
a = lcmv // A
b = lcmv // B

d = a + b - 1
ans = K // d * lcmv
k = K % d

if k == 0:
    print(ans)
    exit()

lb = 0
ub = k + 1

while ub - lb > 1:
    mid = (ub + lb) // 2
    if A * mid < B * (k - mid):
        lb = mid
    else:
        ub = mid

if A * lb + A < B * (k - lb):
    ans += A * (lb + 1)
else:
    ans += B * (k - lb)
print(ans)