Moderate to severe cramps that wax and wane, or occasional cramps that flare up after meals, could be symptom of intestinal obstruction.
If this pain is associated with gas and diarrhea and appears after eating dairy foods, it could be lactose intolerance.
Sharp lower abdominal pain in women can be a sign of pelvic inflammatory disease.
Sharp, intensive pains in lower right abdomen that become worse with moving always raise suspicion for appendicitis.