  We investigate five-dimensional vacuum solutions which represent rotating
multi-black holes in asymptotically Kaluza-Klein spacetimes. We show that
multi-black holes rotate maximally along extra dimension, and stationary
configurations in vacuum are achieved by the balance of the gravitational
attraction force and repulsive force caused by the rotations of black holes. We
also show that each black hole can have the different topology of the lens
space in addition to the spherical topology, and mass of black holes are
quantized by the size of extra dimension and horizon topology.
