In this paper, we propose a weight mapping algorithm to efficiently program a memristive synaptic unit comprising multiple phase change memory (PCM) devices to target conductance values. To evaluate the programming scheme, a simulator based on the measured programming characteristics of 10,000 PCM devices is developed. It is shown that the synaptic unit can be programmed reliably without significant overhead in programming time or energy compared to a unit comprising a single PCM device, while gaining resilience to device-level non-idealities and yield. The algorithm is experimentally verified on a prototype PCM unit cell fabricated in the 90nm CMOS technology node.