【用戶】peter971016
【年級】
【評論內容】(A, B) = 1, 表示A, B數互質[A, B] = 60 = 1 x 2^2 x 3 x 5,因為互質,所以二數沒有共同因數,所以有以下組合A = 1, B = 60A = 3, B = 20A= 4, B = 15A = 5, B = 12A = 12, B = 5A = 15, B = 4A = 20, B = 3A = 60, B = 1所以答案A,B數不可能有2, 我們可反證(A = 2, B = 30 或 A = 30, B = 2, 它們不互質,有共同因數2)