  We construct exact solutions, which represent regular charged rotating
Kaluza-Klein multi-black holes in the five-dimensional pure Einstein-Maxwell
theory. Quantization conditions between the mass, the angular momentum, and
charges appear from the regularity condition of horizon. We also obtain
multi-black string solutions by taking some limits in the solutions. We extend
the black hole solutions to the five-dimensional Einstein-Maxwell-Chern-Simons
theory with an arbitrary Chern-Simons coupling constant.
