10.positive integer a,b,c 组成三位数,问可不可以知道least prime factor of abc+bac+cab 条件1.a+b=c 条件2.c=7
-- by 会员 ponyoveronica (2010/8/21 23:10:10)
大家觉得这道是选E吗? 我的思路: 关键就看abc+bac+cab的奇偶性(1)a=1,b=1,c=2时,abc+bac+cab为奇数,least prime factor肯定不是2;a=1,b=2,c=3时,abc+bac+cab为奇数,least prime factor肯定是2。not sufficient (2)b=odd时,abc+bac+cab为奇数,least prime factor肯定不是2;b=even时,abc+bac+cab为偶数,least prime factor肯定是2。not sufficient (1)&(2)a=2,b=5时,abc+bac+cab为奇数,least prime factor肯定不是2;a=1,b=6时,abc+bac+cab为偶数,least prime factor肯定是2。not sufficient 忘不吝指教~~ -- by 会员 hazardous (2010/8/22 21:48:33)
没想到竟然可以用奇偶性来判断,佩服啊!! |