A dynamic sense current supply circuit and an associated method for rapidly characterizing a resistive memory array is disclosed. In one embodiment, the disclosed circuit comprises a first and second dynamically programmable current mirror sub-circuit. Responsive to a bank of control signals, each dynamically programmable current mirror sub-circuit provides a dynamically adjustable current scaling factor. These scaling factors are used to scale a supplied reference current to generate a plurality of sense currents which can be used within a plurality of read operations on a resistive memory array. A digital circuit is also provided to sense and store the result of each read operation.