Matrix Chain Multiplication

Statement

You are given a chain of matrices to be multiplied. You have to find the least number of primitive multiplications needed to evaluate the result.

Note: Given two matrices $A$ and $B$ of dimensions $(n \times m)$ and $(m \times l)$, the resulting matrix we get is $AB$, whose dimensions are $(n \times l)$. Further, when multiplying these two matrices, the number of primitive multiplications is $(n \times m \times l)$.