Product of distance of points in a scatter plot from one another

I have a cloud of (X,Y) scatter referenced to origin (X=0;Y=0); Say there are N points

I require to find the distance of point P1(X1,Y1) from other (N-1) points : i will have (N-1) distances

Next I equire to find the distance of point P2(X2,Y2) from other (N-2) points : i will have (N-2) distances

I wish to have product of all such distances for that given cloud.

Next this cloud changes for 15 time steps......so I need the 15 set of product of all such distances!!!

Hope I am clear. Eucledian Distance I guess wont work as origin shifts each time in agiven cloud.