We report observations made with the IRAM 30m radiotelescope in the HCN(1-0) and HCO+(1-0) lines towards a sample of molecular complexes (GMCs) in the disk of the Andromeda galaxy (M31). The targets were identified bright CO GMCs selected from the IRAM 30m CO survey with various morphologies and environments. The clouds vary in galactocentric distances from 2.4 to 15.5kpc. The HCN and HCO+ emission is easily detected in almost all observed positions, with line widths generally similar to the CO ones and there is a good correlation between the two dense gas tracers. The HCO+ emission is slightly stronger than the HCN, in particular towards GMCs with a strong star formation activity. However the HCO+ emission is weaker than the HCN towards a quiescent cloud in the inner part of M31, which could be due to a lower abundance of HCO+. We derive I_HCN/I_CO ratios between 0.008 and 0.03 and I_HCO+/I_CO ratios between less than 0.003 and 0.04. We study the radial distribution of the dense gas in the disk of M31. Unlike our Galaxy the HCO+/CO ratio is lower in the center of M31 than in the arms, which can be explained by both a lower abundance of HCO+ and different conditions of excitation. Furthermore the HCN/CO and HCO+/CO ratios appear to be higher in the inner spiral arm and weaker in the outer arm.Read less <