The △-scaling method has been applied to ultra-relativistic p+p, C+C and Pb+Pb collision data simulated using a high-energy Monte Carlo package, LUCIAE 3.0. The △-scaling is found to be valid for some physical variables,such as charged particle multiplicity, strange particle multiplicity and number of binary nucleon-nucleon collisions from these simulated nucleus-nucleus collisions over an extended energy ranging from Elab = 20 to 200 A GeV.In addition we derive the information entropy from the multiplicity distribution as a function of beam energy for these collisions.