your monitor has no problem, its your cpu. Try to hook your monitor to your laptop,and change the display setting to your LCD monitor.
If LCD has displaying no signal mean signal coming form the Video card of your CPU
try to visualize if you hearing some beeps into from CPU, some motherboard has beep codes
if there's an error or failure to your CPU, 1 beep means its good system test.
if you don't hear any beeps, try to check first your Video Card
if you have Spare try to replace it, try to reset all the connectors even Memory card to its slot.
reset means pull the connectors and place it back again,
also check the power supply of cpu if still functioning good.but you can test it by multi volt meter.
if nothing happens check your motherboard most common failure is bloating capacitor, and overheating chipset.
thanks....................hope this helps...................