import fractions


def solve(A, B, T):
    if T <= A:
        return A
    if T <= B:
        m = (T - 1) // A
        return min((m + 1) * A, B)
    L = A * B // fractions.gcd(A, B)
    R = min(T, (T % L) + L)
    record = float('inf')
    for b in range(0, R + 1, B):
        r = R - b
        score = b + ((r - 1) // A + 1) * A
        if record > score:
            record = score
    return record + T - R


A, B, T = map(int, input().split())
print(solve(A, B, T))