If it fits, it will work. Micro USB is the global standard now for all cell phone chargers and data cables. The Optimus V (and every other Optimus) uses a Micro USB connector.
Note that not all chargers will supply the same power. "USB power" is when you plug into a computer or other device that can't supply more than 500 mA (milliamps of current, 2.5 Watts at 5 Volts) of power. "AC Power" is when you plug into a higher-rate-capable charger like a wall- or car-charger that can supply the full 1 Amp (1000 milliamps, 5 Watts). The phone will obviously charge faster on "AC Power". Also, not every wall- or car-charger can supply the full 5 Watts. Read the label.