$\{124{\}}_{\text{J}\text{a}\text{v}\text{a}}$

this problem tor tull credit. Late submissions lose $2$ points per day.

Write a method named ar rayAllMultiples that, given an array of int values greater than $0,$

returns whether the values are all integer multiples of one of the values in the array, which we'll

call the base. For example, given the array $\{4,2,8\}$ you would return true, since $4$ and $8$

are integer multiples of the base $2.$ Given the array $\{2,2,5\}$ you would return false, since

there is no value that all others are integer multiples of$.($If the array contains $1,$ you should

always return true, but there's no need to handle this case specifically.$)$

You should approach this problem in two steps. First, identify the base$-$the value in the array

that you are going to check whether others are multiples of$.$ This may sound complicated, but

it's straightforward. You do not need to and should not check whether every value is the base!

Your solution should not contain a nested loop.

Next, check all the values in the array and look for a counterexample$-$a value that is not a

multiple of the base.

The passed array may be null or empty. In those cases you should return false. Valid arrays

will contain only integers strictly greater than $0.$

$($i$)$ For this problem we're expecting only a method. IN JAVA