I interpret your words "continuous random numbers" to mean all real numbers within the given limits, not just integers. Suppose you want values within the intervals as given by the rows of p, that is, for example, between 50 and 110, between 120 and 150, between 208.2 and 321.9, or between 410.7 and 531.8. They should all have a constant probability density within these intervals.
n = 1000;
p = [50,110;120,150;208.2,321.9;410.7,531.8];
d = p(:,2)-p(:,1);
c = cumsum(d);
r = zeros(n,1);
for k = 1:n
m = sum(c(1:end-1)<c(end)*rand)+1;
r(k) = p(m,1)+d(m)*rand;
The intervals are chosen with probability in proportion to their respective lengths, and position within any interval is statistically uniform. The 'r' vector should contain the desired (continuous) random values.