Fast multipliction of multiple matrices by multiple vectors

In matlab, I would like to multiply M vectors using L matrices, resulting with M x L new vectors. Specifically, say I have a matrix A of size N x M and a matrix B of size N x N x L matrix, I would like to calculate a matrix C of size N x M x L where the result is exactly like the following slow code:

for m=1:M
    for l=1:L
         C(:,m,l)=B(:,:,l)*A(:,m)
    end
end

but do achieve this efficiently (using native code rather than matlab looping).