GCD of Prefixes

Sasuke and Itachi are playing a game. Sasuke first creates an array $A$ containing $N$ positive integers $A_1, A_2, \dots, A_N$. He then creates a new array $B$ of length $N$ such that $B_i = \gcd(A_1, A_2, ..., A_i)$ for each $1 \leq i \leq N$. Now, Sasuke gives array $B$ to Itachi and asks him to find any array $A$ (with $1\leq A_i\leq 10^9$) such that the given process applied to $A$ will produ