2. 外语
  3. List A, B and C means the list of multiples of prime numbers 2, 3, and 5 respectively, how many integers between 1 and 100, incl

List A, B and C means the list of multiples of prime numbers 2, 3, and 5 respectively, how many integers between 1 and 100, incl

admin2022-11-20  26
问题 List A, B and C means the list of multiples of prime numbers 2, 3, and 5 respectively, how many integers between 1 and 100, inclusive, will apper on all three of the lists?
选项 A、None
B、l
C、3
D、5
E、An infinite number of integers
答案C
解析 如果这个数出现在三个List中，那么它必然是2，3，5的倍数，因此只要求出1到100有多少个数能够同时整除2，3，5，这三个质数的最小公倍数为2×3×5=30，100=30×3+10，因此有3个能够同时整除2，3，5，所以选择C。
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