请教一个Prep的DS题

sephirothlaus

Q. The integers m and p are such that 2<m<p and m is not a factor of p. If r is the remainder when p is divided by m, is r > 1 ?

1. the greatest common factor of m and p is 2

2. the least common multiple of m and p is 30

crystal_z_ys

A

sephirothlaus

答案的确是A

请问一下有没有式子可以解释呢

我用例子来举是可以解A

但是在模考时，速度就很慢了

请大家帮忙解释一下

谢谢

chengcheng7

我也不明白.

请大家解释一下解题思路吧.谢谢

alice2292

the greatest common factor of m and p is 2 最大公约数是2. 起码这2个数都是2的倍数.

 r is the remainder when p is divided by m, 意思是 p除以m, 余数是r, 余数肯定是2的倍数. 肯定 > 1

lingri88

问的是R是否大于1,而我理解成要算出R的值了.

根据条件1可以得初R大于1

而条件2不确定