Carnival of Conundrums

In the Carnival of Conundrums is being played a game called Switch wherein there is an array $A$ of $N$ elements and $N$ switches. When the $i^{th}$ switch is pressed, all elements starting from $1^{st}$ to $i^{th}$ are incremented by $1$. This takes $i$ time-steps. There is another array $B$. The task is to press the switches of array $A$ such that for each $i$, $A_i$ will be a multiple of $B