I have never tried to do what you are trying to do before, but based on common sense I assume the one ohm resistors were to be used as a DC current shunt to measure current flow by voltage drop. Resistors are cheap so you may select a smaller value, say 0.1 or 0.01 ohms. I would pick the smallest value that will yield a measureable result with the type of voltmeter you have and the expected current flow. If the voltage is (guessing...) less than 5VDC, causing a voltage drop of greater than 0.25-0.5V will not only cause the measured values to be off but may also cause damage to the PC and/or the power supply.
As another suggestion, if the amperage is expected to be less than 10 amps, you can use the ammeter function of a common multimeter. The multimeter ammeter function will have very low resistance and should not cause a voltage drop.
I hope this helps.