If you connect all your switches to the single resistor all your switches will be parallel, and you'll have only 1 output instead of 8. In fact this is a NOR gate: if at least one switch is closed the output will go low, if all switches are open the output will be high. This may have its application, but it's not the functionality you want.
You need a pullup resistor per switch.
Like BarsMonster says resistors are cheap (not only the SMDs). Don't buy a single part, a single 1/4W carbon film resistor costs 8 cent at Digikey, at set of 100 costs 2.2 cent per resistor. Have a few standard values at hand, like 1k\$\Omega\$ (typical for a transistor's base resistor) and 10k\$\Omega\$ (typical for pullup).