You can use broadcastingto multiply two arrays and take only the integer part as follows:
In [2]: (A*B).astype(int)
Out[2]: array([ 0, 4, 9, 16])
Dates:
In [8]: %timeit (A*B).astype(int)
1000000 loops, best of 3: 1.65 µs per loop
In [9]: %timeit np.multiply(A, B, out=A, casting='unsafe')
100000 loops, best of 3: 2.01 µs per loop
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