Excel sum function that returns zero, if any value in the sum range contains zero
My immediate reaction was also multiplication but perhaps less computationally intensive would be to sum only if a zero is not found in the source.
Assuming the array is A1:C3:
=IF(COUNTIF(A1:C3,"=0")>0,0,SUM(A1:C3))
You could multiply all the values in the range. If one value is zero the result will be zero and then you can use that in a test to either multiply the sum by 0 or 1.
Cheers,