How to vectorize a calculation

[Tuxedo]

I have a 1D array containing ending values of a financial computation that has n elements and a matrix of inflation factors that has n rows and w columns. I'd like to divide each member of the 1D array with the product of column values of the corresponding row in the matrix. I know I can do this in a loop:

for i in range(n):
   b[i] /= numpy.product(infl[i,:]))

But I'd like to vectorize it to save (a lot) of time because n is big (1-2M). Is there a way to do this?

[Gribouillis]

What about

b /= infl.prod(axis=1)

[Tuxedo]

What about

b /= infl.prod(axis=1)

Works like a charm, many thanks!!