Question 147
Luca writes on a blackboard all possible sequences consisting of 2017 distinct positive integers whose sum is $2016 \cdot 2017 \cdot 2018$. After doing this, he replaces each such sequence with the greatest common divisor of its elements. When this long operation is finished, what is the largest of the numbers written on the blackboard?
(A) 2
(B) $2 \cdot 2016$
(C) $2 \cdot 2017$
(D) $2 \cdot 2018$
(E) $2016 \cdot 2018$
(A) 2
(B) $2 \cdot 2016$
(C) $2 \cdot 2017$
(D) $2 \cdot 2018$
(E) $2016 \cdot 2018$