import fractions

def read_data():
    A, B, T = map(int, input().split())
    return A, B, T

def approximate(r, A, B):
    result = float('inf')
    for bB in range(0, r + B, B):
        # bB + a * A >= r
        a = ((r - bB - 1) // A) + 1
        ab = a * A + bB
        if ab < result:
            result = ab
    return result
    

def solve(A, B, T):
    if A > B:
        A, B = B, A
    if T <= A:
        return A
    AB = A * B // fractions.gcd(A, B)
    m, r = divmod(T, AB)
    return m * AB + approximate(r, A, B)

if __name__ == '__main__':
    A, B, T = read_data()
    print(solve(A, B, T))