题目
What is the least possible product of 5 different integers, each of which is between –5 and 5, inclusive?
解析
要让乘积最小,需满足:
- 结果的符号为负(若可能)
- 乘积的绝对值最大
-5到+5之间的整数有:\(\{-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5\}\)
为了让绝对值最大,先选\(\{-5, -4, +5, +4\}\);
为了得到负号且绝对值最大,再选绝对值最大的负数\(\{-3\}\)。
计算乘积:\(-5×-4×-3×4×5 = -1200\)
答案:选项C